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Finding the Third Proportional to 198,245.25 and 297,807.75

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Solution

The third proportional to 198,245.25 and 297,807.75 is: 447,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,245.25 : 297,807.75 = 297,807.75 : x
  2. Step 2: Convert to fraction form
    198,245.25/297,807.75 = 297,807.75/x
  3. Step 3: Cross multiply
    198,245.25x = 297,807.75 × 297,807.75
  4. Step 4: Simplify right side
    198,245.25x = 88,689,455,960.06
  5. Step 5: Solve for x
    x = 88,689,455,960.06/198,245.25
  6. Step 6: Final answer
    x = 447,372.41

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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.