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Finding the Third Proportional to 133,530 and 270,748

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Solution

The third proportional to 133,530 and 270,748 is: 548,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,530 : 270,748 = 270,748 : x
  2. Step 2: Convert to fraction form
    133,530/270,748 = 270,748/x
  3. Step 3: Cross multiply
    133,530x = 270,748 × 270,748
  4. Step 4: Simplify right side
    133,530x = 73,304,479,504
  5. Step 5: Solve for x
    x = 73,304,479,504/133,530
  6. Step 6: Final answer
    x = 548,973.86

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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.