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Finding the Third Proportional to 150,917 and 204,230

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Solution

The third proportional to 150,917 and 204,230 is: 276,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,917 : 204,230 = 204,230 : x
  2. Step 2: Convert to fraction form
    150,917/204,230 = 204,230/x
  3. Step 3: Cross multiply
    150,917x = 204,230 × 204,230
  4. Step 4: Simplify right side
    150,917x = 41,709,892,900
  5. Step 5: Solve for x
    x = 41,709,892,900/150,917
  6. Step 6: Final answer
    x = 276,376.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.