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Finding the Third Proportional to 146,794 and 204,255

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Solution

The third proportional to 146,794 and 204,255 is: 284,208.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,794 : 204,255 = 204,255 : x
  2. Step 2: Convert to fraction form
    146,794/204,255 = 204,255/x
  3. Step 3: Cross multiply
    146,794x = 204,255 × 204,255
  4. Step 4: Simplify right side
    146,794x = 41,720,105,025
  5. Step 5: Solve for x
    x = 41,720,105,025/146,794
  6. Step 6: Final answer
    x = 284,208.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.