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Finding the Third Proportional to 179,448 and 386,542

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Solution

The third proportional to 179,448 and 386,542 is: 832,635.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,448 : 386,542 = 386,542 : x
  2. Step 2: Convert to fraction form
    179,448/386,542 = 386,542/x
  3. Step 3: Cross multiply
    179,448x = 386,542 × 386,542
  4. Step 4: Simplify right side
    179,448x = 149,414,717,764
  5. Step 5: Solve for x
    x = 149,414,717,764/179,448
  6. Step 6: Final answer
    x = 832,635.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.