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Finding the Third Proportional to 202.82 and 452.46

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Solution

The third proportional to 202.82 and 452.46 is: 1,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.82 : 452.46 = 452.46 : x
  2. Step 2: Convert to fraction form
    202.82/452.46 = 452.46/x
  3. Step 3: Cross multiply
    202.82x = 452.46 × 452.46
  4. Step 4: Simplify right side
    202.82x = 204,720.90
  5. Step 5: Solve for x
    x = 204,720.90/202.82
  6. Step 6: Final answer
    x = 1,009.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.