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Finding the Third Proportional to 232.24 and 498.02

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Solution

The third proportional to 232.24 and 498.02 is: 1,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.24 : 498.02 = 498.02 : x
  2. Step 2: Convert to fraction form
    232.24/498.02 = 498.02/x
  3. Step 3: Cross multiply
    232.24x = 498.02 × 498.02
  4. Step 4: Simplify right side
    232.24x = 248,027.34
  5. Step 5: Solve for x
    x = 248,027.34/232.24
  6. Step 6: Final answer
    x = 1,067.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.