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Finding the Third Proportional to 126,228.38 and 276,215.06

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Solution

The third proportional to 126,228.38 and 276,215.06 is: 604,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,228.38 : 276,215.06 = 276,215.06 : x
  2. Step 2: Convert to fraction form
    126,228.38/276,215.06 = 276,215.06/x
  3. Step 3: Cross multiply
    126,228.38x = 276,215.06 × 276,215.06
  4. Step 4: Simplify right side
    126,228.38x = 76,294,760,751.88
  5. Step 5: Solve for x
    x = 76,294,760,751.88/126,228.38
  6. Step 6: Final answer
    x = 604,418.47

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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.