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Finding the Third Proportional to 150,434 and 327,849

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Solution

The third proportional to 150,434 and 327,849 is: 714,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,434 : 327,849 = 327,849 : x
  2. Step 2: Convert to fraction form
    150,434/327,849 = 327,849/x
  3. Step 3: Cross multiply
    150,434x = 327,849 × 327,849
  4. Step 4: Simplify right side
    150,434x = 107,484,966,801
  5. Step 5: Solve for x
    x = 107,484,966,801/150,434
  6. Step 6: Final answer
    x = 714,499.16

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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.