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Finding the Third Proportional to 135,912.94 and 294,225.54

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Solution

The third proportional to 135,912.94 and 294,225.54 is: 636,942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,912.94 : 294,225.54 = 294,225.54 : x
  2. Step 2: Convert to fraction form
    135,912.94/294,225.54 = 294,225.54/x
  3. Step 3: Cross multiply
    135,912.94x = 294,225.54 × 294,225.54
  4. Step 4: Simplify right side
    135,912.94x = 86,568,667,836.62
  5. Step 5: Solve for x
    x = 86,568,667,836.62/135,912.94
  6. Step 6: Final answer
    x = 636,942.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.