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Finding the Third Proportional to 205.95 and 452.39

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Solution

The third proportional to 205.95 and 452.39 is: 993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.95 : 452.39 = 452.39 : x
  2. Step 2: Convert to fraction form
    205.95/452.39 = 452.39/x
  3. Step 3: Cross multiply
    205.95x = 452.39 × 452.39
  4. Step 4: Simplify right side
    205.95x = 204,657.28
  5. Step 5: Solve for x
    x = 204,657.28/205.95
  6. Step 6: Final answer
    x = 993.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.