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Finding the Third Proportional to 126,341 and 274,954

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Solution

The third proportional to 126,341 and 274,954 is: 598,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,341 : 274,954 = 274,954 : x
  2. Step 2: Convert to fraction form
    126,341/274,954 = 274,954/x
  3. Step 3: Cross multiply
    126,341x = 274,954 × 274,954
  4. Step 4: Simplify right side
    126,341x = 75,599,702,116
  5. Step 5: Solve for x
    x = 75,599,702,116/126,341
  6. Step 6: Final answer
    x = 598,378.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.