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Finding the Third Proportional to 150,414 and 334,448

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Solution

The third proportional to 150,414 and 334,448 is: 743,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,414 : 334,448 = 334,448 : x
  2. Step 2: Convert to fraction form
    150,414/334,448 = 334,448/x
  3. Step 3: Cross multiply
    150,414x = 334,448 × 334,448
  4. Step 4: Simplify right side
    150,414x = 111,855,464,704
  5. Step 5: Solve for x
    x = 111,855,464,704/150,414
  6. Step 6: Final answer
    x = 743,650.62

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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.