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Finding the Third Proportional to 241.34 and 516.85

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Solution

The third proportional to 241.34 and 516.85 is: 1,106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.34 : 516.85 = 516.85 : x
  2. Step 2: Convert to fraction form
    241.34/516.85 = 516.85/x
  3. Step 3: Cross multiply
    241.34x = 516.85 × 516.85
  4. Step 4: Simplify right side
    241.34x = 267,133.52
  5. Step 5: Solve for x
    x = 267,133.52/241.34
  6. Step 6: Final answer
    x = 1,106.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.