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Finding the Third Proportional to 150,444 and 324,400

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Solution

The third proportional to 150,444 and 324,400 is: 699,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,444 : 324,400 = 324,400 : x
  2. Step 2: Convert to fraction form
    150,444/324,400 = 324,400/x
  3. Step 3: Cross multiply
    150,444x = 324,400 × 324,400
  4. Step 4: Simplify right side
    150,444x = 105,235,360,000
  5. Step 5: Solve for x
    x = 105,235,360,000/150,444
  6. Step 6: Final answer
    x = 699,498.55

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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.