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Finding the Third Proportional to 183.25 and 340.75

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Solution

The third proportional to 183.25 and 340.75 is: 633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.25 : 340.75 = 340.75 : x
  2. Step 2: Convert to fraction form
    183.25/340.75 = 340.75/x
  3. Step 3: Cross multiply
    183.25x = 340.75 × 340.75
  4. Step 4: Simplify right side
    183.25x = 116,110.56
  5. Step 5: Solve for x
    x = 116,110.56/183.25
  6. Step 6: Final answer
    x = 633.62

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.