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Finding the Third Proportional to 187,961 and 394,374

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Solution

The third proportional to 187,961 and 394,374 is: 827,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,961 : 394,374 = 394,374 : x
  2. Step 2: Convert to fraction form
    187,961/394,374 = 394,374/x
  3. Step 3: Cross multiply
    187,961x = 394,374 × 394,374
  4. Step 4: Simplify right side
    187,961x = 155,530,851,876
  5. Step 5: Solve for x
    x = 155,530,851,876/187,961
  6. Step 6: Final answer
    x = 827,463.42

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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.