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Finding the Third Proportional to 150,344 and 321,424

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Solution

The third proportional to 150,344 and 321,424 is: 687,179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,344 : 321,424 = 321,424 : x
  2. Step 2: Convert to fraction form
    150,344/321,424 = 321,424/x
  3. Step 3: Cross multiply
    150,344x = 321,424 × 321,424
  4. Step 4: Simplify right side
    150,344x = 103,313,387,776
  5. Step 5: Solve for x
    x = 103,313,387,776/150,344
  6. Step 6: Final answer
    x = 687,179.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.