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Finding the Third Proportional to 187,757 and 391,048

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Solution

The third proportional to 187,757 and 391,048 is: 814,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,757 : 391,048 = 391,048 : x
  2. Step 2: Convert to fraction form
    187,757/391,048 = 391,048/x
  3. Step 3: Cross multiply
    187,757x = 391,048 × 391,048
  4. Step 4: Simplify right side
    187,757x = 152,918,538,304
  5. Step 5: Solve for x
    x = 152,918,538,304/187,757
  6. Step 6: Final answer
    x = 814,449.20

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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.