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Finding the Third Proportional to 232.46 and 506.37

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Solution

The third proportional to 232.46 and 506.37 is: 1,103.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.46 : 506.37 = 506.37 : x
  2. Step 2: Convert to fraction form
    232.46/506.37 = 506.37/x
  3. Step 3: Cross multiply
    232.46x = 506.37 × 506.37
  4. Step 4: Simplify right side
    232.46x = 256,411.72
  5. Step 5: Solve for x
    x = 256,411.72/232.46
  6. Step 6: Final answer
    x = 1,103.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.