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Finding the Third Proportional to 96,424 and 207,665

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Solution

The third proportional to 96,424 and 207,665 is: 447,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,424 : 207,665 = 207,665 : x
  2. Step 2: Convert to fraction form
    96,424/207,665 = 207,665/x
  3. Step 3: Cross multiply
    96,424x = 207,665 × 207,665
  4. Step 4: Simplify right side
    96,424x = 43,124,752,225
  5. Step 5: Solve for x
    x = 43,124,752,225/96,424
  6. Step 6: Final answer
    x = 447,240.86

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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.