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Finding the Third Proportional to 178,614 and 246,049

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Solution

The third proportional to 178,614 and 246,049 is: 338,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,614 : 246,049 = 246,049 : x
  2. Step 2: Convert to fraction form
    178,614/246,049 = 246,049/x
  3. Step 3: Cross multiply
    178,614x = 246,049 × 246,049
  4. Step 4: Simplify right side
    178,614x = 60,540,110,401
  5. Step 5: Solve for x
    x = 60,540,110,401/178,614
  6. Step 6: Final answer
    x = 338,943.81

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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.