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Finding the Third Proportional to 208.11 and 452.22

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Solution

The third proportional to 208.11 and 452.22 is: 982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.11 : 452.22 = 452.22 : x
  2. Step 2: Convert to fraction form
    208.11/452.22 = 452.22/x
  3. Step 3: Cross multiply
    208.11x = 452.22 × 452.22
  4. Step 4: Simplify right side
    208.11x = 204,501.80
  5. Step 5: Solve for x
    x = 204,501.80/208.11
  6. Step 6: Final answer
    x = 982.66

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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.