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Finding the Third Proportional to 160,088 and 231,866

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Solution

The third proportional to 160,088 and 231,866 is: 335,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,088 : 231,866 = 231,866 : x
  2. Step 2: Convert to fraction form
    160,088/231,866 = 231,866/x
  3. Step 3: Cross multiply
    160,088x = 231,866 × 231,866
  4. Step 4: Simplify right side
    160,088x = 53,761,841,956
  5. Step 5: Solve for x
    x = 53,761,841,956/160,088
  6. Step 6: Final answer
    x = 335,826.81

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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.