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Finding the Third Proportional to 132,864 and 198,756

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Solution

The third proportional to 132,864 and 198,756 is: 297,326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,864 : 198,756 = 198,756 : x
  2. Step 2: Convert to fraction form
    132,864/198,756 = 198,756/x
  3. Step 3: Cross multiply
    132,864x = 198,756 × 198,756
  4. Step 4: Simplify right side
    132,864x = 39,503,947,536
  5. Step 5: Solve for x
    x = 39,503,947,536/132,864
  6. Step 6: Final answer
    x = 297,326.19

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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.