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Finding the Third Proportional to 172,414 and 246,831

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Solution

The third proportional to 172,414 and 246,831 is: 353,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,414 : 246,831 = 246,831 : x
  2. Step 2: Convert to fraction form
    172,414/246,831 = 246,831/x
  3. Step 3: Cross multiply
    172,414x = 246,831 × 246,831
  4. Step 4: Simplify right side
    172,414x = 60,925,542,561
  5. Step 5: Solve for x
    x = 60,925,542,561/172,414
  6. Step 6: Final answer
    x = 353,367.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.