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Finding the Third Proportional to 150,354 and 330,468

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Solution

The third proportional to 150,354 and 330,468 is: 726,346.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,354 : 330,468 = 330,468 : x
  2. Step 2: Convert to fraction form
    150,354/330,468 = 330,468/x
  3. Step 3: Cross multiply
    150,354x = 330,468 × 330,468
  4. Step 4: Simplify right side
    150,354x = 109,209,099,024
  5. Step 5: Solve for x
    x = 109,209,099,024/150,354
  6. Step 6: Final answer
    x = 726,346.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.