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Finding the Third Proportional to 182,296 and 285,317

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Solution

The third proportional to 182,296 and 285,317 is: 446,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,296 : 285,317 = 285,317 : x
  2. Step 2: Convert to fraction form
    182,296/285,317 = 285,317/x
  3. Step 3: Cross multiply
    182,296x = 285,317 × 285,317
  4. Step 4: Simplify right side
    182,296x = 81,405,790,489
  5. Step 5: Solve for x
    x = 81,405,790,489/182,296
  6. Step 6: Final answer
    x = 446,558.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.