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Finding the Third Proportional to 205.73 and 445.78

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Solution

The third proportional to 205.73 and 445.78 is: 965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.73 : 445.78 = 445.78 : x
  2. Step 2: Convert to fraction form
    205.73/445.78 = 445.78/x
  3. Step 3: Cross multiply
    205.73x = 445.78 × 445.78
  4. Step 4: Simplify right side
    205.73x = 198,720.92
  5. Step 5: Solve for x
    x = 198,720.92/205.73
  6. Step 6: Final answer
    x = 965.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.