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Finding the Third Proportional to 178,908 and 248,016

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Solution

The third proportional to 178,908 and 248,016 is: 343,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,908 : 248,016 = 248,016 : x
  2. Step 2: Convert to fraction form
    178,908/248,016 = 248,016/x
  3. Step 3: Cross multiply
    178,908x = 248,016 × 248,016
  4. Step 4: Simplify right side
    178,908x = 61,511,936,256
  5. Step 5: Solve for x
    x = 61,511,936,256/178,908
  6. Step 6: Final answer
    x = 343,818.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.