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Finding the Third Proportional to 204,356.25 and 445,493.25

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Solution

The third proportional to 204,356.25 and 445,493.25 is: 971,167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,356.25 : 445,493.25 = 445,493.25 : x
  2. Step 2: Convert to fraction form
    204,356.25/445,493.25 = 445,493.25/x
  3. Step 3: Cross multiply
    204,356.25x = 445,493.25 × 445,493.25
  4. Step 4: Simplify right side
    204,356.25x = 198,464,235,795.56
  5. Step 5: Solve for x
    x = 198,464,235,795.56/204,356.25
  6. Step 6: Final answer
    x = 971,167.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.