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Finding the Third Proportional to 198,027.75 and 297,964.13

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Solution

The third proportional to 198,027.75 and 297,964.13 is: 448,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,027.75 : 297,964.13 = 297,964.13 : x
  2. Step 2: Convert to fraction form
    198,027.75/297,964.13 = 297,964.13/x
  3. Step 3: Cross multiply
    198,027.75x = 297,964.13 × 297,964.13
  4. Step 4: Simplify right side
    198,027.75x = 88,782,619,787.02
  5. Step 5: Solve for x
    x = 88,782,619,787.02/198,027.75
  6. Step 6: Final answer
    x = 448,334.23

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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.