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Finding the Third Proportional to 150,444 and 324,399

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Solution

The third proportional to 150,444 and 324,399 is: 699,494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,444 : 324,399 = 324,399 : x
  2. Step 2: Convert to fraction form
    150,444/324,399 = 324,399/x
  3. Step 3: Cross multiply
    150,444x = 324,399 × 324,399
  4. Step 4: Simplify right side
    150,444x = 105,234,711,201
  5. Step 5: Solve for x
    x = 105,234,711,201/150,444
  6. Step 6: Final answer
    x = 699,494.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.