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Finding the Third Proportional to 112,344 and 238,542

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Solution

The third proportional to 112,344 and 238,542 is: 506,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,344 : 238,542 = 238,542 : x
  2. Step 2: Convert to fraction form
    112,344/238,542 = 238,542/x
  3. Step 3: Cross multiply
    112,344x = 238,542 × 238,542
  4. Step 4: Simplify right side
    112,344x = 56,902,285,764
  5. Step 5: Solve for x
    x = 56,902,285,764/112,344
  6. Step 6: Final answer
    x = 506,500.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.