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Finding the Third Proportional to 205.43 and 443.30

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Solution

The third proportional to 205.43 and 443.30 is: 956.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.43 : 443.30 = 443.30 : x
  2. Step 2: Convert to fraction form
    205.43/443.30 = 443.30/x
  3. Step 3: Cross multiply
    205.43x = 443.30 × 443.30
  4. Step 4: Simplify right side
    205.43x = 196,514.88
  5. Step 5: Solve for x
    x = 196,514.88/205.43
  6. Step 6: Final answer
    x = 956.59

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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.