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Finding the Third Proportional to 252.42 and 516.02

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Solution

The third proportional to 252.42 and 516.02 is: 1,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.42 : 516.02 = 516.02 : x
  2. Step 2: Convert to fraction form
    252.42/516.02 = 516.02/x
  3. Step 3: Cross multiply
    252.42x = 516.02 × 516.02
  4. Step 4: Simplify right side
    252.42x = 266,280.19
  5. Step 5: Solve for x
    x = 266,280.19/252.42
  6. Step 6: Final answer
    x = 1,054.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.