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Finding the Third Proportional to 205,932 and 451,230

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Solution

The third proportional to 205,932 and 451,230 is: 988,717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,932 : 451,230 = 451,230 : x
  2. Step 2: Convert to fraction form
    205,932/451,230 = 451,230/x
  3. Step 3: Cross multiply
    205,932x = 451,230 × 451,230
  4. Step 4: Simplify right side
    205,932x = 203,608,512,900
  5. Step 5: Solve for x
    x = 203,608,512,900/205,932
  6. Step 6: Final answer
    x = 988,717.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.