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Finding the Third Proportional to 177,797 and 259,675

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Solution

The third proportional to 177,797 and 259,675 is: 379,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,797 : 259,675 = 259,675 : x
  2. Step 2: Convert to fraction form
    177,797/259,675 = 259,675/x
  3. Step 3: Cross multiply
    177,797x = 259,675 × 259,675
  4. Step 4: Simplify right side
    177,797x = 67,431,105,625
  5. Step 5: Solve for x
    x = 67,431,105,625/177,797
  6. Step 6: Final answer
    x = 379,258.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.