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(2/3)rd of a number when multiplied by 3/4 of the same number make 338. The number is _

Dear Student, 

L e t space t h e space n u m b e r space b e space x S o comma space fraction numerator 2 x over denominator 3 end fraction space cross times fraction numerator 3 x over denominator 4 end fraction space equals space 338 space rightwards double arrow fraction numerator 6 x squared over denominator 12 end fraction space equals space 338 space rightwards double arrow x squared over 2 space equals space 338 space rightwards double arrow x squared space equals space 676 space rightwards double arrow x space equals space square root of 676 space rightwards double arrow space x equals left curly bracket 26 comma negative 26 right curly bracket S o space t h e space n u m b e r s space a r e space 26 space a n d space minus 26.

Regards,

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