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Finding the Third Proportional to 87,800 and 188,924

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Solution

The third proportional to 87,800 and 188,924 is: 406,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,800 : 188,924 = 188,924 : x
  2. Step 2: Convert to fraction form
    87,800/188,924 = 188,924/x
  3. Step 3: Cross multiply
    87,800x = 188,924 × 188,924
  4. Step 4: Simplify right side
    87,800x = 35,692,277,776
  5. Step 5: Solve for x
    x = 35,692,277,776/87,800
  6. Step 6: Final answer
    x = 406,517.97

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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.