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Finding the Third Proportional to 132,956 and 198,982

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Solution

The third proportional to 132,956 and 198,982 is: 297,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,956 : 198,982 = 198,982 : x
  2. Step 2: Convert to fraction form
    132,956/198,982 = 198,982/x
  3. Step 3: Cross multiply
    132,956x = 198,982 × 198,982
  4. Step 4: Simplify right side
    132,956x = 39,593,836,324
  5. Step 5: Solve for x
    x = 39,593,836,324/132,956
  6. Step 6: Final answer
    x = 297,796.54

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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.