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Finding the Third Proportional to 205,404.75 and 445,484.25

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Solution

The third proportional to 205,404.75 and 445,484.25 is: 966,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,404.75 : 445,484.25 = 445,484.25 : x
  2. Step 2: Convert to fraction form
    205,404.75/445,484.25 = 445,484.25/x
  3. Step 3: Cross multiply
    205,404.75x = 445,484.25 × 445,484.25
  4. Step 4: Simplify right side
    205,404.75x = 198,456,216,998.06
  5. Step 5: Solve for x
    x = 198,456,216,998.06/205,404.75
  6. Step 6: Final answer
    x = 966,171.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.