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Finding the Third Proportional to 233.25 and 506.44

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Solution

The third proportional to 233.25 and 506.44 is: 1,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.25 : 506.44 = 506.44 : x
  2. Step 2: Convert to fraction form
    233.25/506.44 = 506.44/x
  3. Step 3: Cross multiply
    233.25x = 506.44 × 506.44
  4. Step 4: Simplify right side
    233.25x = 256,478.94
  5. Step 5: Solve for x
    x = 256,478.94/233.25
  6. Step 6: Final answer
    x = 1,099.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.