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Finding the Third Proportional to 171,072 and 246,420

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Solution

The third proportional to 171,072 and 246,420 is: 354,954.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,072 : 246,420 = 246,420 : x
  2. Step 2: Convert to fraction form
    171,072/246,420 = 246,420/x
  3. Step 3: Cross multiply
    171,072x = 246,420 × 246,420
  4. Step 4: Simplify right side
    171,072x = 60,722,816,400
  5. Step 5: Solve for x
    x = 60,722,816,400/171,072
  6. Step 6: Final answer
    x = 354,954.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.