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Finding the Third Proportional to 177,446 and 268,018

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Solution

The third proportional to 177,446 and 268,018 is: 404,819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,446 : 268,018 = 268,018 : x
  2. Step 2: Convert to fraction form
    177,446/268,018 = 268,018/x
  3. Step 3: Cross multiply
    177,446x = 268,018 × 268,018
  4. Step 4: Simplify right side
    177,446x = 71,833,648,324
  5. Step 5: Solve for x
    x = 71,833,648,324/177,446
  6. Step 6: Final answer
    x = 404,819.77

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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.