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Finding the Third Proportional to 112,638 and 243,864

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Solution

The third proportional to 112,638 and 243,864 is: 527,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,638 : 243,864 = 243,864 : x
  2. Step 2: Convert to fraction form
    112,638/243,864 = 243,864/x
  3. Step 3: Cross multiply
    112,638x = 243,864 × 243,864
  4. Step 4: Simplify right side
    112,638x = 59,469,650,496
  5. Step 5: Solve for x
    x = 59,469,650,496/112,638
  6. Step 6: Final answer
    x = 527,971.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.