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Finding the Third Proportional to 110,892 and 242,775

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Solution

The third proportional to 110,892 and 242,775 is: 531,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,892 : 242,775 = 242,775 : x
  2. Step 2: Convert to fraction form
    110,892/242,775 = 242,775/x
  3. Step 3: Cross multiply
    110,892x = 242,775 × 242,775
  4. Step 4: Simplify right side
    110,892x = 58,939,700,625
  5. Step 5: Solve for x
    x = 58,939,700,625/110,892
  6. Step 6: Final answer
    x = 531,505.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.