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Finding the Third Proportional to 187,945.50 and 391,443

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Solution

The third proportional to 187,945.50 and 391,443 is: 815,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,945.50 : 391,443 = 391,443 : x
  2. Step 2: Convert to fraction form
    187,945.50/391,443 = 391,443/x
  3. Step 3: Cross multiply
    187,945.50x = 391,443 × 391,443
  4. Step 4: Simplify right side
    187,945.50x = 153,227,622,249
  5. Step 5: Solve for x
    x = 153,227,622,249/187,945.50
  6. Step 6: Final answer
    x = 815,276.89

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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.