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Finding the Third Proportional to 177,164 and 269,026

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Solution

The third proportional to 177,164 and 269,026 is: 408,519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,164 : 269,026 = 269,026 : x
  2. Step 2: Convert to fraction form
    177,164/269,026 = 269,026/x
  3. Step 3: Cross multiply
    177,164x = 269,026 × 269,026
  4. Step 4: Simplify right side
    177,164x = 72,374,988,676
  5. Step 5: Solve for x
    x = 72,374,988,676/177,164
  6. Step 6: Final answer
    x = 408,519.73

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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.