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Finding the Third Proportional to 133,504 and 270,692

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Solution

The third proportional to 133,504 and 270,692 is: 548,853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,504 : 270,692 = 270,692 : x
  2. Step 2: Convert to fraction form
    133,504/270,692 = 270,692/x
  3. Step 3: Cross multiply
    133,504x = 270,692 × 270,692
  4. Step 4: Simplify right side
    133,504x = 73,274,158,864
  5. Step 5: Solve for x
    x = 73,274,158,864/133,504
  6. Step 6: Final answer
    x = 548,853.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.