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Finding the Third Proportional to 204,032.25 and 444,204

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Solution

The third proportional to 204,032.25 and 444,204 is: 967,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,032.25 : 444,204 = 444,204 : x
  2. Step 2: Convert to fraction form
    204,032.25/444,204 = 444,204/x
  3. Step 3: Cross multiply
    204,032.25x = 444,204 × 444,204
  4. Step 4: Simplify right side
    204,032.25x = 197,317,193,616
  5. Step 5: Solve for x
    x = 197,317,193,616/204,032.25
  6. Step 6: Final answer
    x = 967,088.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.