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Finding the Third Proportional to 87,592 and 188,306

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Solution

The third proportional to 87,592 and 188,306 is: 404,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,592 : 188,306 = 188,306 : x
  2. Step 2: Convert to fraction form
    87,592/188,306 = 188,306/x
  3. Step 3: Cross multiply
    87,592x = 188,306 × 188,306
  4. Step 4: Simplify right side
    87,592x = 35,459,149,636
  5. Step 5: Solve for x
    x = 35,459,149,636/87,592
  6. Step 6: Final answer
    x = 404,821.78

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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.