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Finding the Third Proportional to 204,260 and 294,198

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Solution

The third proportional to 204,260 and 294,198 is: 423,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,260 : 294,198 = 294,198 : x
  2. Step 2: Convert to fraction form
    204,260/294,198 = 294,198/x
  3. Step 3: Cross multiply
    204,260x = 294,198 × 294,198
  4. Step 4: Simplify right side
    204,260x = 86,552,463,204
  5. Step 5: Solve for x
    x = 86,552,463,204/204,260
  6. Step 6: Final answer
    x = 423,736.72

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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.