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Finding the Third Proportional to 129,471 and 198,733.50

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Solution

The third proportional to 129,471 and 198,733.50 is: 305,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,471 : 198,733.50 = 198,733.50 : x
  2. Step 2: Convert to fraction form
    129,471/198,733.50 = 198,733.50/x
  3. Step 3: Cross multiply
    129,471x = 198,733.50 × 198,733.50
  4. Step 4: Simplify right side
    129,471x = 39,495,004,022.25
  5. Step 5: Solve for x
    x = 39,495,004,022.25/129,471
  6. Step 6: Final answer
    x = 305,049.04

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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.