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Finding the Third Proportional to 160,096 and 251,134

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Solution

The third proportional to 160,096 and 251,134 is: 393,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,096 : 251,134 = 251,134 : x
  2. Step 2: Convert to fraction form
    160,096/251,134 = 251,134/x
  3. Step 3: Cross multiply
    160,096x = 251,134 × 251,134
  4. Step 4: Simplify right side
    160,096x = 63,068,285,956
  5. Step 5: Solve for x
    x = 63,068,285,956/160,096
  6. Step 6: Final answer
    x = 393,940.42

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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.