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Finding the Third Proportional to 160,084 and 231,861

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Solution

The third proportional to 160,084 and 231,861 is: 335,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,084 : 231,861 = 231,861 : x
  2. Step 2: Convert to fraction form
    160,084/231,861 = 231,861/x
  3. Step 3: Cross multiply
    160,084x = 231,861 × 231,861
  4. Step 4: Simplify right side
    160,084x = 53,759,523,321
  5. Step 5: Solve for x
    x = 53,759,523,321/160,084
  6. Step 6: Final answer
    x = 335,820.71

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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.