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Finding the Third Proportional to 193,279 and 391,750

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Solution

The third proportional to 193,279 and 391,750 is: 794,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,279 : 391,750 = 391,750 : x
  2. Step 2: Convert to fraction form
    193,279/391,750 = 391,750/x
  3. Step 3: Cross multiply
    193,279x = 391,750 × 391,750
  4. Step 4: Simplify right side
    193,279x = 153,468,062,500
  5. Step 5: Solve for x
    x = 153,468,062,500/193,279
  6. Step 6: Final answer
    x = 794,023.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.