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Finding the Third Proportional to 206,876 and 325,068

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Solution

The third proportional to 206,876 and 325,068 is: 510,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876 : 325,068 = 325,068 : x
  2. Step 2: Convert to fraction form
    206,876/325,068 = 325,068/x
  3. Step 3: Cross multiply
    206,876x = 325,068 × 325,068
  4. Step 4: Simplify right side
    206,876x = 105,669,204,624
  5. Step 5: Solve for x
    x = 105,669,204,624/206,876
  6. Step 6: Final answer
    x = 510,785.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.