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Finding the Third Proportional to 182,204 and 399,508

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Solution

The third proportional to 182,204 and 399,508 is: 875,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,204 : 399,508 = 399,508 : x
  2. Step 2: Convert to fraction form
    182,204/399,508 = 399,508/x
  3. Step 3: Cross multiply
    182,204x = 399,508 × 399,508
  4. Step 4: Simplify right side
    182,204x = 159,606,642,064
  5. Step 5: Solve for x
    x = 159,606,642,064/182,204
  6. Step 6: Final answer
    x = 875,977.71

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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.