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Finding the Third Proportional to 181,668 and 271,734

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Solution

The third proportional to 181,668 and 271,734 is: 406,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,668 : 271,734 = 271,734 : x
  2. Step 2: Convert to fraction form
    181,668/271,734 = 271,734/x
  3. Step 3: Cross multiply
    181,668x = 271,734 × 271,734
  4. Step 4: Simplify right side
    181,668x = 73,839,366,756
  5. Step 5: Solve for x
    x = 73,839,366,756/181,668
  6. Step 6: Final answer
    x = 406,452.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.