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Finding the Third Proportional to 150,609 and 324,543

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Solution

The third proportional to 150,609 and 324,543 is: 699,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,609 : 324,543 = 324,543 : x
  2. Step 2: Convert to fraction form
    150,609/324,543 = 324,543/x
  3. Step 3: Cross multiply
    150,609x = 324,543 × 324,543
  4. Step 4: Simplify right side
    150,609x = 105,328,158,849
  5. Step 5: Solve for x
    x = 105,328,158,849/150,609
  6. Step 6: Final answer
    x = 699,348.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.