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Finding the Third Proportional to 126,361 and 277,994

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Solution

The third proportional to 126,361 and 277,994 is: 611,586.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,361 : 277,994 = 277,994 : x
  2. Step 2: Convert to fraction form
    126,361/277,994 = 277,994/x
  3. Step 3: Cross multiply
    126,361x = 277,994 × 277,994
  4. Step 4: Simplify right side
    126,361x = 77,280,664,036
  5. Step 5: Solve for x
    x = 77,280,664,036/126,361
  6. Step 6: Final answer
    x = 611,586.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.