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Finding the Third Proportional to 169,469 and 368,449

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Solution

The third proportional to 169,469 and 368,449 is: 801,058.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,469 : 368,449 = 368,449 : x
  2. Step 2: Convert to fraction form
    169,469/368,449 = 368,449/x
  3. Step 3: Cross multiply
    169,469x = 368,449 × 368,449
  4. Step 4: Simplify right side
    169,469x = 135,754,665,601
  5. Step 5: Solve for x
    x = 135,754,665,601/169,469
  6. Step 6: Final answer
    x = 801,058.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.