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Finding the Third Proportional to 180.75 and 218.25

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Solution

The third proportional to 180.75 and 218.25 is: 263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.75 : 218.25 = 218.25 : x
  2. Step 2: Convert to fraction form
    180.75/218.25 = 218.25/x
  3. Step 3: Cross multiply
    180.75x = 218.25 × 218.25
  4. Step 4: Simplify right side
    180.75x = 47,633.06
  5. Step 5: Solve for x
    x = 47,633.06/180.75
  6. Step 6: Final answer
    x = 263.53

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.