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Finding the Third Proportional to 150,678 and 324,666

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Solution

The third proportional to 150,678 and 324,666 is: 699,558.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,678 : 324,666 = 324,666 : x
  2. Step 2: Convert to fraction form
    150,678/324,666 = 324,666/x
  3. Step 3: Cross multiply
    150,678x = 324,666 × 324,666
  4. Step 4: Simplify right side
    150,678x = 105,408,011,556
  5. Step 5: Solve for x
    x = 105,408,011,556/150,678
  6. Step 6: Final answer
    x = 699,558.07

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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.