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Finding the Third Proportional to 202.31 and 255.94

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Solution

The third proportional to 202.31 and 255.94 is: 323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.31 : 255.94 = 255.94 : x
  2. Step 2: Convert to fraction form
    202.31/255.94 = 255.94/x
  3. Step 3: Cross multiply
    202.31x = 255.94 × 255.94
  4. Step 4: Simplify right side
    202.31x = 65,504.00
  5. Step 5: Solve for x
    x = 65,504.00/202.31
  6. Step 6: Final answer
    x = 323.78

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.