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Finding the Third Proportional to 233.88 and 355.44

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Solution

The third proportional to 233.88 and 355.44 is: 540.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.88 : 355.44 = 355.44 : x
  2. Step 2: Convert to fraction form
    233.88/355.44 = 355.44/x
  3. Step 3: Cross multiply
    233.88x = 355.44 × 355.44
  4. Step 4: Simplify right side
    233.88x = 126,335.82
  5. Step 5: Solve for x
    x = 126,335.82/233.88
  6. Step 6: Final answer
    x = 540.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.