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Finding the Third Proportional to 126,940 and 277,208

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Solution

The third proportional to 126,940 and 277,208 is: 605,359.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,940 : 277,208 = 277,208 : x
  2. Step 2: Convert to fraction form
    126,940/277,208 = 277,208/x
  3. Step 3: Cross multiply
    126,940x = 277,208 × 277,208
  4. Step 4: Simplify right side
    126,940x = 76,844,275,264
  5. Step 5: Solve for x
    x = 76,844,275,264/126,940
  6. Step 6: Final answer
    x = 605,359.03

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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.