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Finding the Third Proportional to 159,449 and 335,422

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Solution

The third proportional to 159,449 and 335,422 is: 705,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,449 : 335,422 = 335,422 : x
  2. Step 2: Convert to fraction form
    159,449/335,422 = 335,422/x
  3. Step 3: Cross multiply
    159,449x = 335,422 × 335,422
  4. Step 4: Simplify right side
    159,449x = 112,507,918,084
  5. Step 5: Solve for x
    x = 112,507,918,084/159,449
  6. Step 6: Final answer
    x = 705,604.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.