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Finding the Third Proportional to 106.31 and 204.75

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Solution

The third proportional to 106.31 and 204.75 is: 394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.31 : 204.75 = 204.75 : x
  2. Step 2: Convert to fraction form
    106.31/204.75 = 204.75/x
  3. Step 3: Cross multiply
    106.31x = 204.75 × 204.75
  4. Step 4: Simplify right side
    106.31x = 41,922.56
  5. Step 5: Solve for x
    x = 41,922.56/106.31
  6. Step 6: Final answer
    x = 394.33

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.