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Finding the Third Proportional to 182,257 and 397,675

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Solution

The third proportional to 182,257 and 397,675 is: 867,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,257 : 397,675 = 397,675 : x
  2. Step 2: Convert to fraction form
    182,257/397,675 = 397,675/x
  3. Step 3: Cross multiply
    182,257x = 397,675 × 397,675
  4. Step 4: Simplify right side
    182,257x = 158,145,405,625
  5. Step 5: Solve for x
    x = 158,145,405,625/182,257
  6. Step 6: Final answer
    x = 867,705.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.