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Finding the Third Proportional to 198,468 and 297,744

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Solution

The third proportional to 198,468 and 297,744 is: 446,679.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,468 : 297,744 = 297,744 : x
  2. Step 2: Convert to fraction form
    198,468/297,744 = 297,744/x
  3. Step 3: Cross multiply
    198,468x = 297,744 × 297,744
  4. Step 4: Simplify right side
    198,468x = 88,651,489,536
  5. Step 5: Solve for x
    x = 88,651,489,536/198,468
  6. Step 6: Final answer
    x = 446,679.01

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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.