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Finding the Third Proportional to 84,874 and 198,180

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Solution

The third proportional to 84,874 and 198,180 is: 462,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,874 : 198,180 = 198,180 : x
  2. Step 2: Convert to fraction form
    84,874/198,180 = 198,180/x
  3. Step 3: Cross multiply
    84,874x = 198,180 × 198,180
  4. Step 4: Simplify right side
    84,874x = 39,275,312,400
  5. Step 5: Solve for x
    x = 39,275,312,400/84,874
  6. Step 6: Final answer
    x = 462,748.46

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.