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Finding the Third Proportional to 168,302 and 252,885

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Solution

The third proportional to 168,302 and 252,885 is: 379,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,302 : 252,885 = 252,885 : x
  2. Step 2: Convert to fraction form
    168,302/252,885 = 252,885/x
  3. Step 3: Cross multiply
    168,302x = 252,885 × 252,885
  4. Step 4: Simplify right side
    168,302x = 63,950,823,225
  5. Step 5: Solve for x
    x = 63,950,823,225/168,302
  6. Step 6: Final answer
    x = 379,976.61

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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.