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Finding the Third Proportional to 160,088 and 231,865

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Solution

The third proportional to 160,088 and 231,865 is: 335,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,088 : 231,865 = 231,865 : x
  2. Step 2: Convert to fraction form
    160,088/231,865 = 231,865/x
  3. Step 3: Cross multiply
    160,088x = 231,865 × 231,865
  4. Step 4: Simplify right side
    160,088x = 53,761,378,225
  5. Step 5: Solve for x
    x = 53,761,378,225/160,088
  6. Step 6: Final answer
    x = 335,823.91

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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.