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Finding the Third Proportional to 205,945 and 451,251

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Solution

The third proportional to 205,945 and 451,251 is: 988,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,945 : 451,251 = 451,251 : x
  2. Step 2: Convert to fraction form
    205,945/451,251 = 451,251/x
  3. Step 3: Cross multiply
    205,945x = 451,251 × 451,251
  4. Step 4: Simplify right side
    205,945x = 203,627,465,001
  5. Step 5: Solve for x
    x = 203,627,465,001/205,945
  6. Step 6: Final answer
    x = 988,746.83

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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.