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Finding the Third Proportional to 237.22 and 521.14

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Solution

The third proportional to 237.22 and 521.14 is: 1,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.22 : 521.14 = 521.14 : x
  2. Step 2: Convert to fraction form
    237.22/521.14 = 521.14/x
  3. Step 3: Cross multiply
    237.22x = 521.14 × 521.14
  4. Step 4: Simplify right side
    237.22x = 271,585.52
  5. Step 5: Solve for x
    x = 271,585.52/237.22
  6. Step 6: Final answer
    x = 1,144.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.