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Finding the Third Proportional to 107,449 and 229,680

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Solution

The third proportional to 107,449 and 229,680 is: 490,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,449 : 229,680 = 229,680 : x
  2. Step 2: Convert to fraction form
    107,449/229,680 = 229,680/x
  3. Step 3: Cross multiply
    107,449x = 229,680 × 229,680
  4. Step 4: Simplify right side
    107,449x = 52,752,902,400
  5. Step 5: Solve for x
    x = 52,752,902,400/107,449
  6. Step 6: Final answer
    x = 490,957.59

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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.