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Finding the Third Proportional to 69,932 and 152,311

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Solution

The third proportional to 69,932 and 152,311 is: 331,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,932 : 152,311 = 152,311 : x
  2. Step 2: Convert to fraction form
    69,932/152,311 = 152,311/x
  3. Step 3: Cross multiply
    69,932x = 152,311 × 152,311
  4. Step 4: Simplify right side
    69,932x = 23,198,640,721
  5. Step 5: Solve for x
    x = 23,198,640,721/69,932
  6. Step 6: Final answer
    x = 331,731.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.