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Finding the Third Proportional to 169,422 and 262,500

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Solution

The third proportional to 169,422 and 262,500 is: 406,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,422 : 262,500 = 262,500 : x
  2. Step 2: Convert to fraction form
    169,422/262,500 = 262,500/x
  3. Step 3: Cross multiply
    169,422x = 262,500 × 262,500
  4. Step 4: Simplify right side
    169,422x = 68,906,250,000
  5. Step 5: Solve for x
    x = 68,906,250,000/169,422
  6. Step 6: Final answer
    x = 406,713.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.