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Finding the Third Proportional to 126,808 and 273,238

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Solution

The third proportional to 126,808 and 273,238 is: 588,756.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,808 : 273,238 = 273,238 : x
  2. Step 2: Convert to fraction form
    126,808/273,238 = 273,238/x
  3. Step 3: Cross multiply
    126,808x = 273,238 × 273,238
  4. Step 4: Simplify right side
    126,808x = 74,659,004,644
  5. Step 5: Solve for x
    x = 74,659,004,644/126,808
  6. Step 6: Final answer
    x = 588,756.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.