ALBANY — The state yesterday advanced a $3.14 billion replacement plan for the Tappan Zee Bridge connecting Westchester and Rockland counties.

After yesterday’s endorsement by Thruway Executive Director Thomas Madison, the plan is expected to be formally adopted by the Thruway’s full board.

It is the least expensive with the fastest construction schedule of three bids that were accepted, although the $5 toll is still expected to nearly triple. The bid also dredges the least from the Hudson River.

The other projects would have cost $3.99 billion and nearly $4.06.

For any plan, the end cost will be higher due to management costs and contingencies, Madison noted.

The state is waiting on a decision from the federal government on a request for a loan that could cover $2.9 billion of the cost.