WASHINGTON — A much-delayed Iraq war funding bill sailed through the House on Thursday, along with a doubling of college aid for returning troops and help for the unemployed and Midwestern flood victims.

Republican allies of President Bush provided the winning margin in a 268-155 vote to provide $162 billion to fund U.S. operations in Iraq and Afghanistan well into next year.

Democrats opposed to the war, however, succeeded in using the Iraq funding bill as an engine to drive past White House resistance a sweeping revision to GI Bill college benefits and a 13-week extension of unemployment checks for those whose benefits have run out.

Lawmakers separately appr-oved those domestic add-ons by a 416-12 vote, sending the combined bill to the Senate for a vote next week. The White House issued a statement supporting the legislation.

The measure also provides a quick $2.7 billion infusion of emergency flood relief for the Midwest, though more is expected to be needed to deal with the major losses in Iowa, Illinois and other states.

The bill would bring to more than $650 billion the amount provided by Congress for the war in Iraq since it started five years ago. Nearly $200 billion in additional funding has gone to operations in Afghanistan, according to congressional analysts.

It also would give Bush’s successor several months to set Iraq policy after taking office in January — and spares lawmakers the need to cast more war funding votes closer to Election Day.