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Finding the Third Proportional to 232.38 and 555.44

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Solution

The third proportional to 232.38 and 555.44 is: 1,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.38 : 555.44 = 555.44 : x
  2. Step 2: Convert to fraction form
    232.38/555.44 = 555.44/x
  3. Step 3: Cross multiply
    232.38x = 555.44 × 555.44
  4. Step 4: Simplify right side
    232.38x = 308,510.82
  5. Step 5: Solve for x
    x = 308,510.82/232.38
  6. Step 6: Final answer
    x = 1,327.64

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.