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Finding the Third Proportional to 205.97 and 456.94

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Solution

The third proportional to 205.97 and 456.94 is: 1,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.97 : 456.94 = 456.94 : x
  2. Step 2: Convert to fraction form
    205.97/456.94 = 456.94/x
  3. Step 3: Cross multiply
    205.97x = 456.94 × 456.94
  4. Step 4: Simplify right side
    205.97x = 208,791.88
  5. Step 5: Solve for x
    x = 208,791.88/205.97
  6. Step 6: Final answer
    x = 1,013.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.