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Finding the Third Proportional to 109,446 and 233,868

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Solution

The third proportional to 109,446 and 233,868 is: 499,737.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,446 : 233,868 = 233,868 : x
  2. Step 2: Convert to fraction form
    109,446/233,868 = 233,868/x
  3. Step 3: Cross multiply
    109,446x = 233,868 × 233,868
  4. Step 4: Simplify right side
    109,446x = 54,694,241,424
  5. Step 5: Solve for x
    x = 54,694,241,424/109,446
  6. Step 6: Final answer
    x = 499,737.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.