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Finding the Third Proportional to 129,406 and 283,714

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Solution

The third proportional to 129,406 and 283,714 is: 622,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,406 : 283,714 = 283,714 : x
  2. Step 2: Convert to fraction form
    129,406/283,714 = 283,714/x
  3. Step 3: Cross multiply
    129,406x = 283,714 × 283,714
  4. Step 4: Simplify right side
    129,406x = 80,493,633,796
  5. Step 5: Solve for x
    x = 80,493,633,796/129,406
  6. Step 6: Final answer
    x = 622,023.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.