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Finding the Third Proportional to 237.66 and 513.69

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Solution

The third proportional to 237.66 and 513.69 is: 1,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.66 : 513.69 = 513.69 : x
  2. Step 2: Convert to fraction form
    237.66/513.69 = 513.69/x
  3. Step 3: Cross multiply
    237.66x = 513.69 × 513.69
  4. Step 4: Simplify right side
    237.66x = 263,874.85
  5. Step 5: Solve for x
    x = 263,874.85/237.66
  6. Step 6: Final answer
    x = 1,110.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.