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Finding the Third Proportional to 132,026 and 198,670

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Solution

The third proportional to 132,026 and 198,670 is: 298,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,026 : 198,670 = 198,670 : x
  2. Step 2: Convert to fraction form
    132,026/198,670 = 198,670/x
  3. Step 3: Cross multiply
    132,026x = 198,670 × 198,670
  4. Step 4: Simplify right side
    132,026x = 39,469,768,900
  5. Step 5: Solve for x
    x = 39,469,768,900/132,026
  6. Step 6: Final answer
    x = 298,954.52

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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.