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Finding the Third Proportional to 183.13 and 374.75

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Solution

The third proportional to 183.13 and 374.75 is: 766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.13 : 374.75 = 374.75 : x
  2. Step 2: Convert to fraction form
    183.13/374.75 = 374.75/x
  3. Step 3: Cross multiply
    183.13x = 374.75 × 374.75
  4. Step 4: Simplify right side
    183.13x = 140,437.56
  5. Step 5: Solve for x
    x = 140,437.56/183.13
  6. Step 6: Final answer
    x = 766.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.