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Finding the Third Proportional to 135,180 and 294,144

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Solution

The third proportional to 135,180 and 294,144 is: 640,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,180 : 294,144 = 294,144 : x
  2. Step 2: Convert to fraction form
    135,180/294,144 = 294,144/x
  3. Step 3: Cross multiply
    135,180x = 294,144 × 294,144
  4. Step 4: Simplify right side
    135,180x = 86,520,692,736
  5. Step 5: Solve for x
    x = 86,520,692,736/135,180
  6. Step 6: Final answer
    x = 640,040.63

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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.