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Finding the Third Proportional to 140,668 and 308,016

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Solution

The third proportional to 140,668 and 308,016 is: 674,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,668 : 308,016 = 308,016 : x
  2. Step 2: Convert to fraction form
    140,668/308,016 = 308,016/x
  3. Step 3: Cross multiply
    140,668x = 308,016 × 308,016
  4. Step 4: Simplify right side
    140,668x = 94,873,856,256
  5. Step 5: Solve for x
    x = 94,873,856,256/140,668
  6. Step 6: Final answer
    x = 674,452.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.