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Finding the Third Proportional to 205,422.75 and 443,650.50

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Solution

The third proportional to 205,422.75 and 443,650.50 is: 958,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,422.75 : 443,650.50 = 443,650.50 : x
  2. Step 2: Convert to fraction form
    205,422.75/443,650.50 = 443,650.50/x
  3. Step 3: Cross multiply
    205,422.75x = 443,650.50 × 443,650.50
  4. Step 4: Simplify right side
    205,422.75x = 196,825,766,150.25
  5. Step 5: Solve for x
    x = 196,825,766,150.25/205,422.75
  6. Step 6: Final answer
    x = 958,149.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.