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Finding the Third Proportional to 187,839 and 402,381

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Solution

The third proportional to 187,839 and 402,381 is: 861,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,839 : 402,381 = 402,381 : x
  2. Step 2: Convert to fraction form
    187,839/402,381 = 402,381/x
  3. Step 3: Cross multiply
    187,839x = 402,381 × 402,381
  4. Step 4: Simplify right side
    187,839x = 161,910,469,161
  5. Step 5: Solve for x
    x = 161,910,469,161/187,839
  6. Step 6: Final answer
    x = 861,964.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.