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Finding the Third Proportional to 205.50 and 496.88

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Solution

The third proportional to 205.50 and 496.88 is: 1,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.50 : 496.88 = 496.88 : x
  2. Step 2: Convert to fraction form
    205.50/496.88 = 496.88/x
  3. Step 3: Cross multiply
    205.50x = 496.88 × 496.88
  4. Step 4: Simplify right side
    205.50x = 246,884.77
  5. Step 5: Solve for x
    x = 246,884.77/205.50
  6. Step 6: Final answer
    x = 1,201.39

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.