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Finding the Third Proportional to 178,625 and 246,063

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Solution

The third proportional to 178,625 and 246,063 is: 338,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,625 : 246,063 = 246,063 : x
  2. Step 2: Convert to fraction form
    178,625/246,063 = 246,063/x
  3. Step 3: Cross multiply
    178,625x = 246,063 × 246,063
  4. Step 4: Simplify right side
    178,625x = 60,546,999,969
  5. Step 5: Solve for x
    x = 60,546,999,969/178,625
  6. Step 6: Final answer
    x = 338,961.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.