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Finding the Third Proportional to 111,892 and 242,744

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Solution

The third proportional to 111,892 and 242,744 is: 526,620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,892 : 242,744 = 242,744 : x
  2. Step 2: Convert to fraction form
    111,892/242,744 = 242,744/x
  3. Step 3: Cross multiply
    111,892x = 242,744 × 242,744
  4. Step 4: Simplify right side
    111,892x = 58,924,649,536
  5. Step 5: Solve for x
    x = 58,924,649,536/111,892
  6. Step 6: Final answer
    x = 526,620.76

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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.