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Finding the Third Proportional to 206,367.75 and 451,815.75

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Solution

The third proportional to 206,367.75 and 451,815.75 is: 989,192.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,367.75 : 451,815.75 = 451,815.75 : x
  2. Step 2: Convert to fraction form
    206,367.75/451,815.75 = 451,815.75/x
  3. Step 3: Cross multiply
    206,367.75x = 451,815.75 × 451,815.75
  4. Step 4: Simplify right side
    206,367.75x = 204,137,471,948.06
  5. Step 5: Solve for x
    x = 204,137,471,948.06/206,367.75
  6. Step 6: Final answer
    x = 989,192.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.