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Finding the Third Proportional to 115,469 and 173,204

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Solution

The third proportional to 115,469 and 173,204 is: 259,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,469 : 173,204 = 173,204 : x
  2. Step 2: Convert to fraction form
    115,469/173,204 = 173,204/x
  3. Step 3: Cross multiply
    115,469x = 173,204 × 173,204
  4. Step 4: Simplify right side
    115,469x = 29,999,625,616
  5. Step 5: Solve for x
    x = 29,999,625,616/115,469
  6. Step 6: Final answer
    x = 259,806.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.