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Finding the Third Proportional to 206,508 and 303,714

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Solution

The third proportional to 206,508 and 303,714 is: 446,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,508 : 303,714 = 303,714 : x
  2. Step 2: Convert to fraction form
    206,508/303,714 = 303,714/x
  3. Step 3: Cross multiply
    206,508x = 303,714 × 303,714
  4. Step 4: Simplify right side
    206,508x = 92,242,193,796
  5. Step 5: Solve for x
    x = 92,242,193,796/206,508
  6. Step 6: Final answer
    x = 446,676.13

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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.