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Finding the Third Proportional to 159,792 and 347,474

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Solution

The third proportional to 159,792 and 347,474 is: 755,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,792 : 347,474 = 347,474 : x
  2. Step 2: Convert to fraction form
    159,792/347,474 = 347,474/x
  3. Step 3: Cross multiply
    159,792x = 347,474 × 347,474
  4. Step 4: Simplify right side
    159,792x = 120,738,180,676
  5. Step 5: Solve for x
    x = 120,738,180,676/159,792
  6. Step 6: Final answer
    x = 755,595.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.