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Finding the Third Proportional to 160,296 and 227,844

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Solution

The third proportional to 160,296 and 227,844 is: 323,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,296 : 227,844 = 227,844 : x
  2. Step 2: Convert to fraction form
    160,296/227,844 = 227,844/x
  3. Step 3: Cross multiply
    160,296x = 227,844 × 227,844
  4. Step 4: Simplify right side
    160,296x = 51,912,888,336
  5. Step 5: Solve for x
    x = 51,912,888,336/160,296
  6. Step 6: Final answer
    x = 323,856.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.