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Finding the Third Proportional to 77,632 and 168,448

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Solution

The third proportional to 77,632 and 168,448 is: 365,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,632 : 168,448 = 168,448 : x
  2. Step 2: Convert to fraction form
    77,632/168,448 = 168,448/x
  3. Step 3: Cross multiply
    77,632x = 168,448 × 168,448
  4. Step 4: Simplify right side
    77,632x = 28,374,728,704
  5. Step 5: Solve for x
    x = 28,374,728,704/77,632
  6. Step 6: Final answer
    x = 365,503.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.