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Finding the Third Proportional to 132,292.41 and 198,736.88

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Solution

The third proportional to 132,292.41 and 198,736.88 is: 298,553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,292.41 : 198,736.88 = 198,736.88 : x
  2. Step 2: Convert to fraction form
    132,292.41/198,736.88 = 198,736.88/x
  3. Step 3: Cross multiply
    132,292.41x = 198,736.88 × 198,736.88
  4. Step 4: Simplify right side
    132,292.41x = 39,496,345,484.77
  5. Step 5: Solve for x
    x = 39,496,345,484.77/132,292.41
  6. Step 6: Final answer
    x = 298,553.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.