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Finding the Third Proportional to 198,758 and 297,350

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Solution

The third proportional to 198,758 and 297,350 is: 444,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,758 : 297,350 = 297,350 : x
  2. Step 2: Convert to fraction form
    198,758/297,350 = 297,350/x
  3. Step 3: Cross multiply
    198,758x = 297,350 × 297,350
  4. Step 4: Simplify right side
    198,758x = 88,417,022,500
  5. Step 5: Solve for x
    x = 88,417,022,500/198,758
  6. Step 6: Final answer
    x = 444,847.62

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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.