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Finding the Third Proportional to 205.88 and 445.88

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Solution

The third proportional to 205.88 and 445.88 is: 965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 445.88 = 445.88 : x
  2. Step 2: Convert to fraction form
    205.88/445.88 = 445.88/x
  3. Step 3: Cross multiply
    205.88x = 445.88 × 445.88
  4. Step 4: Simplify right side
    205.88x = 198,804.52
  5. Step 5: Solve for x
    x = 198,804.52/205.88
  6. Step 6: Final answer
    x = 965.66

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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.