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Finding the Third Proportional to 126,213.82 and 270,162.84

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Solution

The third proportional to 126,213.82 and 270,162.84 is: 578,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,213.82 : 270,162.84 = 270,162.84 : x
  2. Step 2: Convert to fraction form
    126,213.82/270,162.84 = 270,162.84/x
  3. Step 3: Cross multiply
    126,213.82x = 270,162.84 × 270,162.84
  4. Step 4: Simplify right side
    126,213.82x = 72,987,962,143.09
  5. Step 5: Solve for x
    x = 72,987,962,143.09/126,213.82
  6. Step 6: Final answer
    x = 578,288.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.