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Finding the Third Proportional to 171,200 and 246,601

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Solution

The third proportional to 171,200 and 246,601 is: 355,210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,200 : 246,601 = 246,601 : x
  2. Step 2: Convert to fraction form
    171,200/246,601 = 246,601/x
  3. Step 3: Cross multiply
    171,200x = 246,601 × 246,601
  4. Step 4: Simplify right side
    171,200x = 60,812,053,201
  5. Step 5: Solve for x
    x = 60,812,053,201/171,200
  6. Step 6: Final answer
    x = 355,210.59

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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.