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Finding the Third Proportional to 160,141 and 231,949

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Solution

The third proportional to 160,141 and 231,949 is: 335,956.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,141 : 231,949 = 231,949 : x
  2. Step 2: Convert to fraction form
    160,141/231,949 = 231,949/x
  3. Step 3: Cross multiply
    160,141x = 231,949 × 231,949
  4. Step 4: Simplify right side
    160,141x = 53,800,338,601
  5. Step 5: Solve for x
    x = 53,800,338,601/160,141
  6. Step 6: Final answer
    x = 335,956.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.