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Finding the Third Proportional to 516.23 and 1,143.84

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Solution

The third proportional to 516.23 and 1,143.84 is: 2,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.23 : 1,143.84 = 1,143.84 : x
  2. Step 2: Convert to fraction form
    516.23/1,143.84 = 1,143.84/x
  3. Step 3: Cross multiply
    516.23x = 1,143.84 × 1,143.84
  4. Step 4: Simplify right side
    516.23x = 1,308,378.52
  5. Step 5: Solve for x
    x = 1,308,378.52/516.23
  6. Step 6: Final answer
    x = 2,534.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.