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Finding the Third Proportional to 204,041 and 286,824

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Solution

The third proportional to 204,041 and 286,824 is: 403,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,041 : 286,824 = 286,824 : x
  2. Step 2: Convert to fraction form
    204,041/286,824 = 286,824/x
  3. Step 3: Cross multiply
    204,041x = 286,824 × 286,824
  4. Step 4: Simplify right side
    204,041x = 82,268,006,976
  5. Step 5: Solve for x
    x = 82,268,006,976/204,041
  6. Step 6: Final answer
    x = 403,193.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.