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Finding the Third Proportional to 230.48 and 532.97

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Solution

The third proportional to 230.48 and 532.97 is: 1,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.48 : 532.97 = 532.97 : x
  2. Step 2: Convert to fraction form
    230.48/532.97 = 532.97/x
  3. Step 3: Cross multiply
    230.48x = 532.97 × 532.97
  4. Step 4: Simplify right side
    230.48x = 284,055.69
  5. Step 5: Solve for x
    x = 284,055.69/230.48
  6. Step 6: Final answer
    x = 1,232.43

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.