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Finding the Third Proportional to 187,934 and 394,320

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Solution

The third proportional to 187,934 and 394,320 is: 827,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,934 : 394,320 = 394,320 : x
  2. Step 2: Convert to fraction form
    187,934/394,320 = 394,320/x
  3. Step 3: Cross multiply
    187,934x = 394,320 × 394,320
  4. Step 4: Simplify right side
    187,934x = 155,488,262,400
  5. Step 5: Solve for x
    x = 155,488,262,400/187,934
  6. Step 6: Final answer
    x = 827,355.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.