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Finding the Third Proportional to 126,208 and 271,856

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Solution

The third proportional to 126,208 and 271,856 is: 585,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,208 : 271,856 = 271,856 : x
  2. Step 2: Convert to fraction form
    126,208/271,856 = 271,856/x
  3. Step 3: Cross multiply
    126,208x = 271,856 × 271,856
  4. Step 4: Simplify right side
    126,208x = 73,905,684,736
  5. Step 5: Solve for x
    x = 73,905,684,736/126,208
  6. Step 6: Final answer
    x = 585,586.37

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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.