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Finding the Third Proportional to 205,773.75 and 449,250.75

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Solution

The third proportional to 205,773.75 and 449,250.75 is: 980,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,773.75 : 449,250.75 = 449,250.75 : x
  2. Step 2: Convert to fraction form
    205,773.75/449,250.75 = 449,250.75/x
  3. Step 3: Cross multiply
    205,773.75x = 449,250.75 × 449,250.75
  4. Step 4: Simplify right side
    205,773.75x = 201,826,236,375.56
  5. Step 5: Solve for x
    x = 201,826,236,375.56/205,773.75
  6. Step 6: Final answer
    x = 980,816.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.