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Finding the Third Proportional to 243.75 and 372

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Solution

The third proportional to 243.75 and 372 is: 567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.75 : 372 = 372 : x
  2. Step 2: Convert to fraction form
    243.75/372 = 372/x
  3. Step 3: Cross multiply
    243.75x = 372 × 372
  4. Step 4: Simplify right side
    243.75x = 138,384
  5. Step 5: Solve for x
    x = 138,384/243.75
  6. Step 6: Final answer
    x = 567.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.