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Finding the Third Proportional to 204.25 and 302.44

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Solution

The third proportional to 204.25 and 302.44 is: 447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.25 : 302.44 = 302.44 : x
  2. Step 2: Convert to fraction form
    204.25/302.44 = 302.44/x
  3. Step 3: Cross multiply
    204.25x = 302.44 × 302.44
  4. Step 4: Simplify right side
    204.25x = 91,468.44
  5. Step 5: Solve for x
    x = 91,468.44/204.25
  6. Step 6: Final answer
    x = 447.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.