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Finding the Third Proportional to 206,166 and 447,318

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Solution

The third proportional to 206,166 and 447,318 is: 970,545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,166 : 447,318 = 447,318 : x
  2. Step 2: Convert to fraction form
    206,166/447,318 = 447,318/x
  3. Step 3: Cross multiply
    206,166x = 447,318 × 447,318
  4. Step 4: Simplify right side
    206,166x = 200,093,393,124
  5. Step 5: Solve for x
    x = 200,093,393,124/206,166
  6. Step 6: Final answer
    x = 970,545.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.