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Finding the Third Proportional to 252.75 and 538.38

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Solution

The third proportional to 252.75 and 538.38 is: 1,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.75 : 538.38 = 538.38 : x
  2. Step 2: Convert to fraction form
    252.75/538.38 = 538.38/x
  3. Step 3: Cross multiply
    252.75x = 538.38 × 538.38
  4. Step 4: Simplify right side
    252.75x = 289,847.64
  5. Step 5: Solve for x
    x = 289,847.64/252.75
  6. Step 6: Final answer
    x = 1,146.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.