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Finding the Third Proportional to 204,794 and 307,191

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Solution

The third proportional to 204,794 and 307,191 is: 460,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,794 : 307,191 = 307,191 : x
  2. Step 2: Convert to fraction form
    204,794/307,191 = 307,191/x
  3. Step 3: Cross multiply
    204,794x = 307,191 × 307,191
  4. Step 4: Simplify right side
    204,794x = 94,366,310,481
  5. Step 5: Solve for x
    x = 94,366,310,481/204,794
  6. Step 6: Final answer
    x = 460,786.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.