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Finding the Third Proportional to 177,587 and 268,217

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Solution

The third proportional to 177,587 and 268,217 is: 405,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,587 : 268,217 = 268,217 : x
  2. Step 2: Convert to fraction form
    177,587/268,217 = 268,217/x
  3. Step 3: Cross multiply
    177,587x = 268,217 × 268,217
  4. Step 4: Simplify right side
    177,587x = 71,940,359,089
  5. Step 5: Solve for x
    x = 71,940,359,089/177,587
  6. Step 6: Final answer
    x = 405,099.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.