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Finding the Third Proportional to 190,876 and 259,098

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Solution

The third proportional to 190,876 and 259,098 is: 351,703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,876 : 259,098 = 259,098 : x
  2. Step 2: Convert to fraction form
    190,876/259,098 = 259,098/x
  3. Step 3: Cross multiply
    190,876x = 259,098 × 259,098
  4. Step 4: Simplify right side
    190,876x = 67,131,773,604
  5. Step 5: Solve for x
    x = 67,131,773,604/190,876
  6. Step 6: Final answer
    x = 351,703.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.