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Finding the Third Proportional to 206,147 and 447,543

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Solution

The third proportional to 206,147 and 447,543 is: 971,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,147 : 447,543 = 447,543 : x
  2. Step 2: Convert to fraction form
    206,147/447,543 = 447,543/x
  3. Step 3: Cross multiply
    206,147x = 447,543 × 447,543
  4. Step 4: Simplify right side
    206,147x = 200,294,736,849
  5. Step 5: Solve for x
    x = 200,294,736,849/206,147
  6. Step 6: Final answer
    x = 971,611.21

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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.