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Finding the Third Proportional to 183.75 and 223.38

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Solution

The third proportional to 183.75 and 223.38 is: 271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.75 : 223.38 = 223.38 : x
  2. Step 2: Convert to fraction form
    183.75/223.38 = 223.38/x
  3. Step 3: Cross multiply
    183.75x = 223.38 × 223.38
  4. Step 4: Simplify right side
    183.75x = 49,896.39
  5. Step 5: Solve for x
    x = 49,896.39/183.75
  6. Step 6: Final answer
    x = 271.54

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.