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Finding the Third Proportional to 132,208 and 198,604

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Solution

The third proportional to 132,208 and 198,604 is: 298,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,208 : 198,604 = 198,604 : x
  2. Step 2: Convert to fraction form
    132,208/198,604 = 198,604/x
  3. Step 3: Cross multiply
    132,208x = 198,604 × 198,604
  4. Step 4: Simplify right side
    132,208x = 39,443,548,816
  5. Step 5: Solve for x
    x = 39,443,548,816/132,208
  6. Step 6: Final answer
    x = 298,344.64

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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.