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Finding the Third Proportional to 135.75 and 217.75

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Solution

The third proportional to 135.75 and 217.75 is: 349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.75 : 217.75 = 217.75 : x
  2. Step 2: Convert to fraction form
    135.75/217.75 = 217.75/x
  3. Step 3: Cross multiply
    135.75x = 217.75 × 217.75
  4. Step 4: Simplify right side
    135.75x = 47,415.06
  5. Step 5: Solve for x
    x = 47,415.06/135.75
  6. Step 6: Final answer
    x = 349.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.