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Finding the Third Proportional to 109,832 and 239,806

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Solution

The third proportional to 109,832 and 239,806 is: 523,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,832 : 239,806 = 239,806 : x
  2. Step 2: Convert to fraction form
    109,832/239,806 = 239,806/x
  3. Step 3: Cross multiply
    109,832x = 239,806 × 239,806
  4. Step 4: Simplify right side
    109,832x = 57,506,917,636
  5. Step 5: Solve for x
    x = 57,506,917,636/109,832
  6. Step 6: Final answer
    x = 523,589.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.