Three-way poppet valves having a poppet valve body, first and second poppet valves disposed in a valve guide within the body for motion between first poppet valve open and first poppet valve closed positions, a first poppet valve seat disposed in the poppet valve body so as to have freedom in a plane perpendicular to the poppet valve axis, the first poppet valve, when moving to the closed position, engaging the first poppet valve seat and centering the first poppet valve seat with respect to the first poppet valve, and when in the closed position, holding the first poppet valve seat against the poppet valve body, and a second poppet valve connected with the first poppet valve, the poppet valve body having a second poppet valve seat, the second poppet valve being in the closed position when the first poppet valve is in the open position and being in the open position when the first poppet valve is in the closed position.