Ternary pesticidal mixtures comprising, as active components,an anthranilamide compound of the formula Iwhich is selected from3-bromo-4-cyano-1-(3-chloro-2-pyridyl)-2-methyl-6-(methylcarb¬amoyl)pyra¬zole-5-carboxanilide, and3-bromo-4-chloro-1-(3-chloro-2-pyridyl)-2-methyl-6-(methylcarb¬amoyl)pyrazole-5-carboxanilideandone fungicidal compound II, which is fludioxonil, andone fungicidal compound III selected from the group of strobilurinsin a synergistically effective amount, methods for controlling pests, and harmful fungi, methods of protecting plants from attack or infestation by insects, acarids or nematodes, methods for treating, controlling, preventing or protecting an animal against infestation or infection by parasites, compositions containing these mixtures, and methods for their preparation.