The corresponding part numbers are 17127510952, 11534460438, and 11531436406, which are engine coolant radiator hoses for the cooling system. They are compatible with the 3 Series E46 model and are piping components of the cooling system. They connect the engine and radiator, responsible for delivering coolant. They assist in the circulation of coolant within the system, participating in exchange. They adapt to the engine compartment environment, maintaining stable coolant delivery.