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Finding the Third Proportional to 87,328 and 162,398

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Solution

The third proportional to 87,328 and 162,398 is: 302,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,328 : 162,398 = 162,398 : x
  2. Step 2: Convert to fraction form
    87,328/162,398 = 162,398/x
  3. Step 3: Cross multiply
    87,328x = 162,398 × 162,398
  4. Step 4: Simplify right side
    87,328x = 26,373,110,404
  5. Step 5: Solve for x
    x = 26,373,110,404/87,328
  6. Step 6: Final answer
    x = 302,000.62

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.