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Finding the Third Proportional to 187,758 and 391,050

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Solution

The third proportional to 187,758 and 391,050 is: 814,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,758 : 391,050 = 391,050 : x
  2. Step 2: Convert to fraction form
    187,758/391,050 = 391,050/x
  3. Step 3: Cross multiply
    187,758x = 391,050 × 391,050
  4. Step 4: Simplify right side
    187,758x = 152,920,102,500
  5. Step 5: Solve for x
    x = 152,920,102,500/187,758
  6. Step 6: Final answer
    x = 814,453.19

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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.