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Finding the Third Proportional to 204,662 and 445,102

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Solution

The third proportional to 204,662 and 445,102 is: 968,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,662 : 445,102 = 445,102 : x
  2. Step 2: Convert to fraction form
    204,662/445,102 = 445,102/x
  3. Step 3: Cross multiply
    204,662x = 445,102 × 445,102
  4. Step 4: Simplify right side
    204,662x = 198,115,790,404
  5. Step 5: Solve for x
    x = 198,115,790,404/204,662
  6. Step 6: Final answer
    x = 968,014.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.