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Finding the Third Proportional to 132,680.25 and 198,534.38

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Solution

The third proportional to 132,680.25 and 198,534.38 is: 297,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,680.25 : 198,534.38 = 198,534.38 : x
  2. Step 2: Convert to fraction form
    132,680.25/198,534.38 = 198,534.38/x
  3. Step 3: Cross multiply
    132,680.25x = 198,534.38 × 198,534.38
  4. Step 4: Simplify right side
    132,680.25x = 39,415,898,056.64
  5. Step 5: Solve for x
    x = 39,415,898,056.64/132,680.25
  6. Step 6: Final answer
    x = 297,074.34

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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.