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Finding the Third Proportional to 135,204 and 301,512

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Solution

The third proportional to 135,204 and 301,512 is: 672,387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,204 : 301,512 = 301,512 : x
  2. Step 2: Convert to fraction form
    135,204/301,512 = 301,512/x
  3. Step 3: Cross multiply
    135,204x = 301,512 × 301,512
  4. Step 4: Simplify right side
    135,204x = 90,909,486,144
  5. Step 5: Solve for x
    x = 90,909,486,144/135,204
  6. Step 6: Final answer
    x = 672,387.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.