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Finding the Third Proportional to 206,108 and 447,465

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Solution

The third proportional to 206,108 and 447,465 is: 971,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,108 : 447,465 = 447,465 : x
  2. Step 2: Convert to fraction form
    206,108/447,465 = 447,465/x
  3. Step 3: Cross multiply
    206,108x = 447,465 × 447,465
  4. Step 4: Simplify right side
    206,108x = 200,224,926,225
  5. Step 5: Solve for x
    x = 200,224,926,225/206,108
  6. Step 6: Final answer
    x = 971,456.35

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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.