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Finding the Third Proportional to 233.44 and 255.94

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Solution

The third proportional to 233.44 and 255.94 is: 280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.44 : 255.94 = 255.94 : x
  2. Step 2: Convert to fraction form
    233.44/255.94 = 255.94/x
  3. Step 3: Cross multiply
    233.44x = 255.94 × 255.94
  4. Step 4: Simplify right side
    233.44x = 65,504.00
  5. Step 5: Solve for x
    x = 65,504.00/233.44
  6. Step 6: Final answer
    x = 280.61

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.