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Finding the Third Proportional to 177,164 and 269,025

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Solution

The third proportional to 177,164 and 269,025 is: 408,516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,164 : 269,025 = 269,025 : x
  2. Step 2: Convert to fraction form
    177,164/269,025 = 269,025/x
  3. Step 3: Cross multiply
    177,164x = 269,025 × 269,025
  4. Step 4: Simplify right side
    177,164x = 72,374,450,625
  5. Step 5: Solve for x
    x = 72,374,450,625/177,164
  6. Step 6: Final answer
    x = 408,516.69

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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.