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Finding the Third Proportional to 111,233 and 239,962

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Solution

The third proportional to 111,233 and 239,962 is: 517,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,233 : 239,962 = 239,962 : x
  2. Step 2: Convert to fraction form
    111,233/239,962 = 239,962/x
  3. Step 3: Cross multiply
    111,233x = 239,962 × 239,962
  4. Step 4: Simplify right side
    111,233x = 57,581,761,444
  5. Step 5: Solve for x
    x = 57,581,761,444/111,233
  6. Step 6: Final answer
    x = 517,667.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.