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Finding the Third Proportional to 177.75 and 270.75

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Solution

The third proportional to 177.75 and 270.75 is: 412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.75 : 270.75 = 270.75 : x
  2. Step 2: Convert to fraction form
    177.75/270.75 = 270.75/x
  3. Step 3: Cross multiply
    177.75x = 270.75 × 270.75
  4. Step 4: Simplify right side
    177.75x = 73,305.56
  5. Step 5: Solve for x
    x = 73,305.56/177.75
  6. Step 6: Final answer
    x = 412.41

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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.