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Finding the Third Proportional to 230.03 and 496.44

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Solution

The third proportional to 230.03 and 496.44 is: 1,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.03 : 496.44 = 496.44 : x
  2. Step 2: Convert to fraction form
    230.03/496.44 = 496.44/x
  3. Step 3: Cross multiply
    230.03x = 496.44 × 496.44
  4. Step 4: Simplify right side
    230.03x = 246,454.07
  5. Step 5: Solve for x
    x = 246,454.07/230.03
  6. Step 6: Final answer
    x = 1,071.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.