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Finding the Third Proportional to 150,388 and 334,400

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Solution

The third proportional to 150,388 and 334,400 is: 743,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,388 : 334,400 = 334,400 : x
  2. Step 2: Convert to fraction form
    150,388/334,400 = 334,400/x
  3. Step 3: Cross multiply
    150,388x = 334,400 × 334,400
  4. Step 4: Simplify right side
    150,388x = 111,823,360,000
  5. Step 5: Solve for x
    x = 111,823,360,000/150,388
  6. Step 6: Final answer
    x = 743,565.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.