Finding the Third Proportional to 264,414.09 and 402,816.09
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Solution
The third proportional to 264,414.09 and 402,816.09 is: 613,661.71
Step by Step Solution
- Step 1: Write the proportion equation
264,414.09 : 402,816.09 = 402,816.09 : x - Step 2: Convert to fraction form
264,414.09/402,816.09 = 402,816.09/x - Step 3: Cross multiply
264,414.09x = 402,816.09 × 402,816.09 - Step 4: Simplify right side
264,414.09x = 162,260,805,384.01 - Step 5: Solve for x
x = 162,260,805,384.01/264,414.09 - Step 6: Final answer
x = 613,661.71
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.