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Finding the Third Proportional to 132,686 and 198,541

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Solution

The third proportional to 132,686 and 198,541 is: 297,081.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,686 : 198,541 = 198,541 : x
  2. Step 2: Convert to fraction form
    132,686/198,541 = 198,541/x
  3. Step 3: Cross multiply
    132,686x = 198,541 × 198,541
  4. Step 4: Simplify right side
    132,686x = 39,418,528,681
  5. Step 5: Solve for x
    x = 39,418,528,681/132,686
  6. Step 6: Final answer
    x = 297,081.29

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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.