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Finding the Third Proportional to 135,042.75 and 294,383.25

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Solution

The third proportional to 135,042.75 and 294,383.25 is: 641,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,042.75 : 294,383.25 = 294,383.25 : x
  2. Step 2: Convert to fraction form
    135,042.75/294,383.25 = 294,383.25/x
  3. Step 3: Cross multiply
    135,042.75x = 294,383.25 × 294,383.25
  4. Step 4: Simplify right side
    135,042.75x = 86,661,497,880.56
  5. Step 5: Solve for x
    x = 86,661,497,880.56/135,042.75
  6. Step 6: Final answer
    x = 641,733.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.