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Finding the Third Proportional to 187,941 and 391,431

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Solution

The third proportional to 187,941 and 391,431 is: 815,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,941 : 391,431 = 391,431 : x
  2. Step 2: Convert to fraction form
    187,941/391,431 = 391,431/x
  3. Step 3: Cross multiply
    187,941x = 391,431 × 391,431
  4. Step 4: Simplify right side
    187,941x = 153,218,227,761
  5. Step 5: Solve for x
    x = 153,218,227,761/187,941
  6. Step 6: Final answer
    x = 815,246.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.