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Finding the Third Proportional to 204,102 and 447,660

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Solution

The third proportional to 204,102 and 447,660 is: 981,859.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,102 : 447,660 = 447,660 : x
  2. Step 2: Convert to fraction form
    204,102/447,660 = 447,660/x
  3. Step 3: Cross multiply
    204,102x = 447,660 × 447,660
  4. Step 4: Simplify right side
    204,102x = 200,399,475,600
  5. Step 5: Solve for x
    x = 200,399,475,600/204,102
  6. Step 6: Final answer
    x = 981,859.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.