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Finding the Third Proportional to 204,102 and 444,350

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Solution

The third proportional to 204,102 and 444,350 is: 967,393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,102 : 444,350 = 444,350 : x
  2. Step 2: Convert to fraction form
    204,102/444,350 = 444,350/x
  3. Step 3: Cross multiply
    204,102x = 444,350 × 444,350
  4. Step 4: Simplify right side
    204,102x = 197,446,922,500
  5. Step 5: Solve for x
    x = 197,446,922,500/204,102
  6. Step 6: Final answer
    x = 967,393.37

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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.