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Finding the Third Proportional to 187,947 and 391,445

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Solution

The third proportional to 187,947 and 391,445 is: 815,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,947 : 391,445 = 391,445 : x
  2. Step 2: Convert to fraction form
    187,947/391,445 = 391,445/x
  3. Step 3: Cross multiply
    187,947x = 391,445 × 391,445
  4. Step 4: Simplify right side
    187,947x = 153,229,188,025
  5. Step 5: Solve for x
    x = 153,229,188,025/187,947
  6. Step 6: Final answer
    x = 815,278.71

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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.