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Finding the Third Proportional to 183.52 and 275.27

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Solution

The third proportional to 183.52 and 275.27 is: 412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.52 : 275.27 = 275.27 : x
  2. Step 2: Convert to fraction form
    183.52/275.27 = 275.27/x
  3. Step 3: Cross multiply
    183.52x = 275.27 × 275.27
  4. Step 4: Simplify right side
    183.52x = 75,775.47
  5. Step 5: Solve for x
    x = 75,775.47/183.52
  6. Step 6: Final answer
    x = 412.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.