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Finding the Third Proportional to 129,474 and 198,738

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Solution

The third proportional to 129,474 and 198,738 is: 305,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,474 : 198,738 = 198,738 : x
  2. Step 2: Convert to fraction form
    129,474/198,738 = 198,738/x
  3. Step 3: Cross multiply
    129,474x = 198,738 × 198,738
  4. Step 4: Simplify right side
    129,474x = 39,496,792,644
  5. Step 5: Solve for x
    x = 39,496,792,644/129,474
  6. Step 6: Final answer
    x = 305,055.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.