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Finding the Third Proportional to 232.03 and 547.70

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Solution

The third proportional to 232.03 and 547.70 is: 1,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.03 : 547.70 = 547.70 : x
  2. Step 2: Convert to fraction form
    232.03/547.70 = 547.70/x
  3. Step 3: Cross multiply
    232.03x = 547.70 × 547.70
  4. Step 4: Simplify right side
    232.03x = 299,974.43
  5. Step 5: Solve for x
    x = 299,974.43/232.03
  6. Step 6: Final answer
    x = 1,292.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.