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Finding the Third Proportional to 113,632 and 239,244

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Solution

The third proportional to 113,632 and 239,244 is: 503,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,632 : 239,244 = 239,244 : x
  2. Step 2: Convert to fraction form
    113,632/239,244 = 239,244/x
  3. Step 3: Cross multiply
    113,632x = 239,244 × 239,244
  4. Step 4: Simplify right side
    113,632x = 57,237,691,536
  5. Step 5: Solve for x
    x = 57,237,691,536/113,632
  6. Step 6: Final answer
    x = 503,711.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.