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Finding the Third Proportional to 126,240.19 and 276,231.94

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Solution

The third proportional to 126,240.19 and 276,231.94 is: 604,435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,240.19 : 276,231.94 = 276,231.94 : x
  2. Step 2: Convert to fraction form
    126,240.19/276,231.94 = 276,231.94/x
  3. Step 3: Cross multiply
    126,240.19x = 276,231.94 × 276,231.94
  4. Step 4: Simplify right side
    126,240.19x = 76,304,083,295.00
  5. Step 5: Solve for x
    x = 76,304,083,295.00/126,240.19
  6. Step 6: Final answer
    x = 604,435.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.