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Finding the Third Proportional to 180,331 and 391,766

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Solution

The third proportional to 180,331 and 391,766 is: 851,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,331 : 391,766 = 391,766 : x
  2. Step 2: Convert to fraction form
    180,331/391,766 = 391,766/x
  3. Step 3: Cross multiply
    180,331x = 391,766 × 391,766
  4. Step 4: Simplify right side
    180,331x = 153,480,598,756
  5. Step 5: Solve for x
    x = 153,480,598,756/180,331
  6. Step 6: Final answer
    x = 851,104.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.