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Finding the Third Proportional to 187,948 and 391,447

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Solution

The third proportional to 187,948 and 391,447 is: 815,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,948 : 391,447 = 391,447 : x
  2. Step 2: Convert to fraction form
    187,948/391,447 = 391,447/x
  3. Step 3: Cross multiply
    187,948x = 391,447 × 391,447
  4. Step 4: Simplify right side
    187,948x = 153,230,753,809
  5. Step 5: Solve for x
    x = 153,230,753,809/187,948
  6. Step 6: Final answer
    x = 815,282.70

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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.