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Finding the Third Proportional to 179,856 and 391,446

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Solution

The third proportional to 179,856 and 391,446 is: 851,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,856 : 391,446 = 391,446 : x
  2. Step 2: Convert to fraction form
    179,856/391,446 = 391,446/x
  3. Step 3: Cross multiply
    179,856x = 391,446 × 391,446
  4. Step 4: Simplify right side
    179,856x = 153,229,970,916
  5. Step 5: Solve for x
    x = 153,229,970,916/179,856
  6. Step 6: Final answer
    x = 851,959.18

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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.