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Finding the Third Proportional to 150,414 and 320,844

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Solution

The third proportional to 150,414 and 320,844 is: 684,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,414 : 320,844 = 320,844 : x
  2. Step 2: Convert to fraction form
    150,414/320,844 = 320,844/x
  3. Step 3: Cross multiply
    150,414x = 320,844 × 320,844
  4. Step 4: Simplify right side
    150,414x = 102,940,872,336
  5. Step 5: Solve for x
    x = 102,940,872,336/150,414
  6. Step 6: Final answer
    x = 684,383.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.