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Finding the Third Proportional to 132,874 and 198,943

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Solution

The third proportional to 132,874 and 198,943 is: 297,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,874 : 198,943 = 198,943 : x
  2. Step 2: Convert to fraction form
    132,874/198,943 = 198,943/x
  3. Step 3: Cross multiply
    132,874x = 198,943 × 198,943
  4. Step 4: Simplify right side
    132,874x = 39,578,317,249
  5. Step 5: Solve for x
    x = 39,578,317,249/132,874
  6. Step 6: Final answer
    x = 297,863.52

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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.