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Finding the Third Proportional to 205.97 and 444.42

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Solution

The third proportional to 205.97 and 444.42 is: 958.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.97 : 444.42 = 444.42 : x
  2. Step 2: Convert to fraction form
    205.97/444.42 = 444.42/x
  3. Step 3: Cross multiply
    205.97x = 444.42 × 444.42
  4. Step 4: Simplify right side
    205.97x = 197,510.80
  5. Step 5: Solve for x
    x = 197,510.80/205.97
  6. Step 6: Final answer
    x = 958.94

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Why These Related Problems?

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