Finding the Third Proportional to 202,320 and 291,448
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Solution
The third proportional to 202,320 and 291,448 is: 419,839.54
Step by Step Solution
- Step 1: Write the proportion equation
202,320 : 291,448 = 291,448 : x - Step 2: Convert to fraction form
202,320/291,448 = 291,448/x - Step 3: Cross multiply
202,320x = 291,448 × 291,448 - Step 4: Simplify right side
202,320x = 84,941,936,704 - Step 5: Solve for x
x = 84,941,936,704/202,320 - Step 6: Final answer
x = 419,839.54
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.