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Finding the Third Proportional to 150,676 and 321,344

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Solution

The third proportional to 150,676 and 321,344 is: 685,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,676 : 321,344 = 321,344 : x
  2. Step 2: Convert to fraction form
    150,676/321,344 = 321,344/x
  3. Step 3: Cross multiply
    150,676x = 321,344 × 321,344
  4. Step 4: Simplify right side
    150,676x = 103,261,966,336
  5. Step 5: Solve for x
    x = 103,261,966,336/150,676
  6. Step 6: Final answer
    x = 685,324.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.