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Finding the Third Proportional to 230.88 and 365.44

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Solution

The third proportional to 230.88 and 365.44 is: 578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.88 : 365.44 = 365.44 : x
  2. Step 2: Convert to fraction form
    230.88/365.44 = 365.44/x
  3. Step 3: Cross multiply
    230.88x = 365.44 × 365.44
  4. Step 4: Simplify right side
    230.88x = 133,544.57
  5. Step 5: Solve for x
    x = 133,544.57/230.88
  6. Step 6: Final answer
    x = 578.43

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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.