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Finding the Third Proportional to 205,366 and 451,052

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Solution

The third proportional to 205,366 and 451,052 is: 990,660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,366 : 451,052 = 451,052 : x
  2. Step 2: Convert to fraction form
    205,366/451,052 = 451,052/x
  3. Step 3: Cross multiply
    205,366x = 451,052 × 451,052
  4. Step 4: Simplify right side
    205,366x = 203,447,906,704
  5. Step 5: Solve for x
    x = 203,447,906,704/205,366
  6. Step 6: Final answer
    x = 990,660.12

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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.