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Finding the Third Proportional to 171,204.25 and 246,601.75

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Solution

The third proportional to 171,204.25 and 246,601.75 is: 355,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,204.25 : 246,601.75 = 246,601.75 : x
  2. Step 2: Convert to fraction form
    171,204.25/246,601.75 = 246,601.75/x
  3. Step 3: Cross multiply
    171,204.25x = 246,601.75 × 246,601.75
  4. Step 4: Simplify right side
    171,204.25x = 60,812,423,103.06
  5. Step 5: Solve for x
    x = 60,812,423,103.06/171,204.25
  6. Step 6: Final answer
    x = 355,203.93

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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.