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Finding the Third Proportional to 331.59 and 516.23

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Solution

The third proportional to 331.59 and 516.23 is: 803.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.59 : 516.23 = 516.23 : x
  2. Step 2: Convert to fraction form
    331.59/516.23 = 516.23/x
  3. Step 3: Cross multiply
    331.59x = 516.23 × 516.23
  4. Step 4: Simplify right side
    331.59x = 266,497.93
  5. Step 5: Solve for x
    x = 266,497.93/331.59
  6. Step 6: Final answer
    x = 803.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.