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Finding the Third Proportional to 203,664 and 447,176

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Solution

The third proportional to 203,664 and 447,176 is: 981,844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,664 : 447,176 = 447,176 : x
  2. Step 2: Convert to fraction form
    203,664/447,176 = 447,176/x
  3. Step 3: Cross multiply
    203,664x = 447,176 × 447,176
  4. Step 4: Simplify right side
    203,664x = 199,966,374,976
  5. Step 5: Solve for x
    x = 199,966,374,976/203,664
  6. Step 6: Final answer
    x = 981,844.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.