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Finding the Third Proportional to 205.31 and 444.80

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Solution

The third proportional to 205.31 and 444.80 is: 963.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.31 : 444.80 = 444.80 : x
  2. Step 2: Convert to fraction form
    205.31/444.80 = 444.80/x
  3. Step 3: Cross multiply
    205.31x = 444.80 × 444.80
  4. Step 4: Simplify right side
    205.31x = 197,844.26
  5. Step 5: Solve for x
    x = 197,844.26/205.31
  6. Step 6: Final answer
    x = 963.63

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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.