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Finding the Third Proportional to 308.25 and 422.44

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Solution

The third proportional to 308.25 and 422.44 is: 578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.25 : 422.44 = 422.44 : x
  2. Step 2: Convert to fraction form
    308.25/422.44 = 422.44/x
  3. Step 3: Cross multiply
    308.25x = 422.44 × 422.44
  4. Step 4: Simplify right side
    308.25x = 178,453.44
  5. Step 5: Solve for x
    x = 178,453.44/308.25
  6. Step 6: Final answer
    x = 578.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.