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Finding the Third Proportional to 150,431 and 327,844

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Solution

The third proportional to 150,431 and 327,844 is: 714,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,431 : 327,844 = 327,844 : x
  2. Step 2: Convert to fraction form
    150,431/327,844 = 327,844/x
  3. Step 3: Cross multiply
    150,431x = 327,844 × 327,844
  4. Step 4: Simplify right side
    150,431x = 107,481,688,336
  5. Step 5: Solve for x
    x = 107,481,688,336/150,431
  6. Step 6: Final answer
    x = 714,491.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.