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Finding the Third Proportional to 154,841 and 339,193

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Solution

The third proportional to 154,841 and 339,193 is: 743,032.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,841 : 339,193 = 339,193 : x
  2. Step 2: Convert to fraction form
    154,841/339,193 = 339,193/x
  3. Step 3: Cross multiply
    154,841x = 339,193 × 339,193
  4. Step 4: Simplify right side
    154,841x = 115,051,891,249
  5. Step 5: Solve for x
    x = 115,051,891,249/154,841
  6. Step 6: Final answer
    x = 743,032.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.