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Finding the Third Proportional to 133,524 and 270,732

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Solution

The third proportional to 133,524 and 270,732 is: 548,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,524 : 270,732 = 270,732 : x
  2. Step 2: Convert to fraction form
    133,524/270,732 = 270,732/x
  3. Step 3: Cross multiply
    133,524x = 270,732 × 270,732
  4. Step 4: Simplify right side
    133,524x = 73,295,815,824
  5. Step 5: Solve for x
    x = 73,295,815,824/133,524
  6. Step 6: Final answer
    x = 548,933.64

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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.