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Finding the Third Proportional to 232.80 and 506.17

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Solution

The third proportional to 232.80 and 506.17 is: 1,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.80 : 506.17 = 506.17 : x
  2. Step 2: Convert to fraction form
    232.80/506.17 = 506.17/x
  3. Step 3: Cross multiply
    232.80x = 506.17 × 506.17
  4. Step 4: Simplify right side
    232.80x = 256,208.98
  5. Step 5: Solve for x
    x = 256,208.98/232.80
  6. Step 6: Final answer
    x = 1,100.57

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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.