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Finding the Third Proportional to 187,758 and 391,047.75

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Solution

The third proportional to 187,758 and 391,047.75 is: 814,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,758 : 391,047.75 = 391,047.75 : x
  2. Step 2: Convert to fraction form
    187,758/391,047.75 = 391,047.75/x
  3. Step 3: Cross multiply
    187,758x = 391,047.75 × 391,047.75
  4. Step 4: Simplify right side
    187,758x = 152,918,342,780.06
  5. Step 5: Solve for x
    x = 152,918,342,780.06/187,758
  6. Step 6: Final answer
    x = 814,443.82

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.