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Finding the Third Proportional to 206,496 and 303,696

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Solution

The third proportional to 206,496 and 303,696 is: 446,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,496 : 303,696 = 303,696 : x
  2. Step 2: Convert to fraction form
    206,496/303,696 = 303,696/x
  3. Step 3: Cross multiply
    206,496x = 303,696 × 303,696
  4. Step 4: Simplify right side
    206,496x = 92,231,260,416
  5. Step 5: Solve for x
    x = 92,231,260,416/206,496
  6. Step 6: Final answer
    x = 446,649.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.