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Finding the Third Proportional to 198,744 and 297,360

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Solution

The third proportional to 198,744 and 297,360 is: 444,908.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,744 : 297,360 = 297,360 : x
  2. Step 2: Convert to fraction form
    198,744/297,360 = 297,360/x
  3. Step 3: Cross multiply
    198,744x = 297,360 × 297,360
  4. Step 4: Simplify right side
    198,744x = 88,422,969,600
  5. Step 5: Solve for x
    x = 88,422,969,600/198,744
  6. Step 6: Final answer
    x = 444,908.88

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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.