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Finding the Third Proportional to 230.75 and 365.38

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Solution

The third proportional to 230.75 and 365.38 is: 578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.75 : 365.38 = 365.38 : x
  2. Step 2: Convert to fraction form
    230.75/365.38 = 365.38/x
  3. Step 3: Cross multiply
    230.75x = 365.38 × 365.38
  4. Step 4: Simplify right side
    230.75x = 133,498.89
  5. Step 5: Solve for x
    x = 133,498.89/230.75
  6. Step 6: Final answer
    x = 578.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.