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Finding the Third Proportional to 187,965 and 391,416

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Solution

The third proportional to 187,965 and 391,416 is: 815,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,965 : 391,416 = 391,416 : x
  2. Step 2: Convert to fraction form
    187,965/391,416 = 391,416/x
  3. Step 3: Cross multiply
    187,965x = 391,416 × 391,416
  4. Step 4: Simplify right side
    187,965x = 153,206,485,056
  5. Step 5: Solve for x
    x = 153,206,485,056/187,965
  6. Step 6: Final answer
    x = 815,079.86

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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.