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Finding the Third Proportional to 112,432 and 241,542

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Solution

The third proportional to 112,432 and 241,542 is: 518,913.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,432 : 241,542 = 241,542 : x
  2. Step 2: Convert to fraction form
    112,432/241,542 = 241,542/x
  3. Step 3: Cross multiply
    112,432x = 241,542 × 241,542
  4. Step 4: Simplify right side
    112,432x = 58,342,537,764
  5. Step 5: Solve for x
    x = 58,342,537,764/112,432
  6. Step 6: Final answer
    x = 518,913.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.