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Finding the Third Proportional to 232.17 and 515.60

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Solution

The third proportional to 232.17 and 515.60 is: 1,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.17 : 515.60 = 515.60 : x
  2. Step 2: Convert to fraction form
    232.17/515.60 = 515.60/x
  3. Step 3: Cross multiply
    232.17x = 515.60 × 515.60
  4. Step 4: Simplify right side
    232.17x = 265,844.97
  5. Step 5: Solve for x
    x = 265,844.97/232.17
  6. Step 6: Final answer
    x = 1,145.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.