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Finding the Third Proportional to 158,041 and 342,866

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Solution

The third proportional to 158,041 and 342,866 is: 743,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,041 : 342,866 = 342,866 : x
  2. Step 2: Convert to fraction form
    158,041/342,866 = 342,866/x
  3. Step 3: Cross multiply
    158,041x = 342,866 × 342,866
  4. Step 4: Simplify right side
    158,041x = 117,557,093,956
  5. Step 5: Solve for x
    x = 117,557,093,956/158,041
  6. Step 6: Final answer
    x = 743,839.22

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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.