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Finding the Third Proportional to 160,571 and 349,744

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Solution

The third proportional to 160,571 and 349,744 is: 761,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,571 : 349,744 = 349,744 : x
  2. Step 2: Convert to fraction form
    160,571/349,744 = 349,744/x
  3. Step 3: Cross multiply
    160,571x = 349,744 × 349,744
  4. Step 4: Simplify right side
    160,571x = 122,320,865,536
  5. Step 5: Solve for x
    x = 122,320,865,536/160,571
  6. Step 6: Final answer
    x = 761,786.78

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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.