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Finding the Third Proportional to 180.75 and 237.75

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Solution

The third proportional to 180.75 and 237.75 is: 312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.75 : 237.75 = 237.75 : x
  2. Step 2: Convert to fraction form
    180.75/237.75 = 237.75/x
  3. Step 3: Cross multiply
    180.75x = 237.75 × 237.75
  4. Step 4: Simplify right side
    180.75x = 56,525.06
  5. Step 5: Solve for x
    x = 56,525.06/180.75
  6. Step 6: Final answer
    x = 312.73

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.