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Finding the Third Proportional to 75.73 and 183.30

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Solution

The third proportional to 75.73 and 183.30 is: 443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.73 : 183.30 = 183.30 : x
  2. Step 2: Convert to fraction form
    75.73/183.30 = 183.30/x
  3. Step 3: Cross multiply
    75.73x = 183.30 × 183.30
  4. Step 4: Simplify right side
    75.73x = 33,600.61
  5. Step 5: Solve for x
    x = 33,600.61/75.73
  6. Step 6: Final answer
    x = 443.71

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.