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Finding the Third Proportional to 178,847 and 265,194

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Solution

The third proportional to 178,847 and 265,194 is: 393,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,847 : 265,194 = 265,194 : x
  2. Step 2: Convert to fraction form
    178,847/265,194 = 265,194/x
  3. Step 3: Cross multiply
    178,847x = 265,194 × 265,194
  4. Step 4: Simplify right side
    178,847x = 70,327,857,636
  5. Step 5: Solve for x
    x = 70,327,857,636/178,847
  6. Step 6: Final answer
    x = 393,229.17

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.