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Finding the Third Proportional to 204,256 and 294,192

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Solution

The third proportional to 204,256 and 294,192 is: 423,727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,256 : 294,192 = 294,192 : x
  2. Step 2: Convert to fraction form
    204,256/294,192 = 294,192/x
  3. Step 3: Cross multiply
    204,256x = 294,192 × 294,192
  4. Step 4: Simplify right side
    204,256x = 86,548,932,864
  5. Step 5: Solve for x
    x = 86,548,932,864/204,256
  6. Step 6: Final answer
    x = 423,727.74

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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.