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Finding the Third Proportional to 80,418 and 176,694

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Solution

The third proportional to 80,418 and 176,694 is: 388,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,418 : 176,694 = 176,694 : x
  2. Step 2: Convert to fraction form
    80,418/176,694 = 176,694/x
  3. Step 3: Cross multiply
    80,418x = 176,694 × 176,694
  4. Step 4: Simplify right side
    80,418x = 31,220,769,636
  5. Step 5: Solve for x
    x = 31,220,769,636/80,418
  6. Step 6: Final answer
    x = 388,231.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.