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Finding the Third Proportional to 237.44 and 518.17

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Solution

The third proportional to 237.44 and 518.17 is: 1,130.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.44 : 518.17 = 518.17 : x
  2. Step 2: Convert to fraction form
    237.44/518.17 = 518.17/x
  3. Step 3: Cross multiply
    237.44x = 518.17 × 518.17
  4. Step 4: Simplify right side
    237.44x = 268,502.09
  5. Step 5: Solve for x
    x = 268,502.09/237.44
  6. Step 6: Final answer
    x = 1,130.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.