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Finding the Third Proportional to 132,425 and 198,933

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Solution

The third proportional to 132,425 and 198,933 is: 298,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,425 : 198,933 = 198,933 : x
  2. Step 2: Convert to fraction form
    132,425/198,933 = 198,933/x
  3. Step 3: Cross multiply
    132,425x = 198,933 × 198,933
  4. Step 4: Simplify right side
    132,425x = 39,574,338,489
  5. Step 5: Solve for x
    x = 39,574,338,489/132,425
  6. Step 6: Final answer
    x = 298,843.41

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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.