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Finding the Third Proportional to 237.61 and 552.02

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Solution

The third proportional to 237.61 and 552.02 is: 1,282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.61 : 552.02 = 552.02 : x
  2. Step 2: Convert to fraction form
    237.61/552.02 = 552.02/x
  3. Step 3: Cross multiply
    237.61x = 552.02 × 552.02
  4. Step 4: Simplify right side
    237.61x = 304,729.88
  5. Step 5: Solve for x
    x = 304,729.88/237.61
  6. Step 6: Final answer
    x = 1,282.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.