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Finding the Third Proportional to 178,778 and 246,267

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Solution

The third proportional to 178,778 and 246,267 is: 339,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,778 : 246,267 = 246,267 : x
  2. Step 2: Convert to fraction form
    178,778/246,267 = 246,267/x
  3. Step 3: Cross multiply
    178,778x = 246,267 × 246,267
  4. Step 4: Simplify right side
    178,778x = 60,647,435,289
  5. Step 5: Solve for x
    x = 60,647,435,289/178,778
  6. Step 6: Final answer
    x = 339,233.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.