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Finding the Third Proportional to 183.88 and 252.88

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Solution

The third proportional to 183.88 and 252.88 is: 347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.88 : 252.88 = 252.88 : x
  2. Step 2: Convert to fraction form
    183.88/252.88 = 252.88/x
  3. Step 3: Cross multiply
    183.88x = 252.88 × 252.88
  4. Step 4: Simplify right side
    183.88x = 63,945.77
  5. Step 5: Solve for x
    x = 63,945.77/183.88
  6. Step 6: Final answer
    x = 347.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.