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Finding the Third Proportional to 230.26 and 543.41

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Solution

The third proportional to 230.26 and 543.41 is: 1,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.26 : 543.41 = 543.41 : x
  2. Step 2: Convert to fraction form
    230.26/543.41 = 543.41/x
  3. Step 3: Cross multiply
    230.26x = 543.41 × 543.41
  4. Step 4: Simplify right side
    230.26x = 295,297.58
  5. Step 5: Solve for x
    x = 295,297.58/230.26
  6. Step 6: Final answer
    x = 1,282.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.