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Finding the Third Proportional to 203.44 and 400.31

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Solution

The third proportional to 203.44 and 400.31 is: 787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.44 : 400.31 = 400.31 : x
  2. Step 2: Convert to fraction form
    203.44/400.31 = 400.31/x
  3. Step 3: Cross multiply
    203.44x = 400.31 × 400.31
  4. Step 4: Simplify right side
    203.44x = 160,250.10
  5. Step 5: Solve for x
    x = 160,250.10/203.44
  6. Step 6: Final answer
    x = 787.71

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.