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Finding the Third Proportional to 177,162 and 269,022

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Solution

The third proportional to 177,162 and 269,022 is: 408,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,162 : 269,022 = 269,022 : x
  2. Step 2: Convert to fraction form
    177,162/269,022 = 269,022/x
  3. Step 3: Cross multiply
    177,162x = 269,022 × 269,022
  4. Step 4: Simplify right side
    177,162x = 72,372,836,484
  5. Step 5: Solve for x
    x = 72,372,836,484/177,162
  6. Step 6: Final answer
    x = 408,512.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.