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Finding the Third Proportional to 200,747.25 and 445,781.25

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Solution

The third proportional to 200,747.25 and 445,781.25 is: 989,906.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,747.25 : 445,781.25 = 445,781.25 : x
  2. Step 2: Convert to fraction form
    200,747.25/445,781.25 = 445,781.25/x
  3. Step 3: Cross multiply
    200,747.25x = 445,781.25 × 445,781.25
  4. Step 4: Simplify right side
    200,747.25x = 198,720,922,851.56
  5. Step 5: Solve for x
    x = 198,720,922,851.56/200,747.25
  6. Step 6: Final answer
    x = 989,906.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.