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Finding the Third Proportional to 206,967 and 447,155

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Solution

The third proportional to 206,967 and 447,155 is: 966,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,967 : 447,155 = 447,155 : x
  2. Step 2: Convert to fraction form
    206,967/447,155 = 447,155/x
  3. Step 3: Cross multiply
    206,967x = 447,155 × 447,155
  4. Step 4: Simplify right side
    206,967x = 199,947,594,025
  5. Step 5: Solve for x
    x = 199,947,594,025/206,967
  6. Step 6: Final answer
    x = 966,084.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.