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Finding the Third Proportional to 167,267 and 269,325

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Solution

The third proportional to 167,267 and 269,325 is: 433,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,267 : 269,325 = 269,325 : x
  2. Step 2: Convert to fraction form
    167,267/269,325 = 269,325/x
  3. Step 3: Cross multiply
    167,267x = 269,325 × 269,325
  4. Step 4: Simplify right side
    167,267x = 72,535,955,625
  5. Step 5: Solve for x
    x = 72,535,955,625/167,267
  6. Step 6: Final answer
    x = 433,653.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.