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Finding the Third Proportional to 179,766 and 391,230

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Solution

The third proportional to 179,766 and 391,230 is: 851,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,766 : 391,230 = 391,230 : x
  2. Step 2: Convert to fraction form
    179,766/391,230 = 391,230/x
  3. Step 3: Cross multiply
    179,766x = 391,230 × 391,230
  4. Step 4: Simplify right side
    179,766x = 153,060,912,900
  5. Step 5: Solve for x
    x = 153,060,912,900/179,766
  6. Step 6: Final answer
    x = 851,445.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.