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Finding the Third Proportional to 205.44 and 443.81

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Solution

The third proportional to 205.44 and 443.81 is: 958.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.44 : 443.81 = 443.81 : x
  2. Step 2: Convert to fraction form
    205.44/443.81 = 443.81/x
  3. Step 3: Cross multiply
    205.44x = 443.81 × 443.81
  4. Step 4: Simplify right side
    205.44x = 196,969.54
  5. Step 5: Solve for x
    x = 196,969.54/205.44
  6. Step 6: Final answer
    x = 958.78

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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.