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Finding the Third Proportional to 204.38 and 310.88

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Solution

The third proportional to 204.38 and 310.88 is: 472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.38 : 310.88 = 310.88 : x
  2. Step 2: Convert to fraction form
    204.38/310.88 = 310.88/x
  3. Step 3: Cross multiply
    204.38x = 310.88 × 310.88
  4. Step 4: Simplify right side
    204.38x = 96,643.27
  5. Step 5: Solve for x
    x = 96,643.27/204.38
  6. Step 6: Final answer
    x = 472.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.