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Finding the Third Proportional to 204,500.25 and 339,639.75

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Solution

The third proportional to 204,500.25 and 339,639.75 is: 564,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,500.25 : 339,639.75 = 339,639.75 : x
  2. Step 2: Convert to fraction form
    204,500.25/339,639.75 = 339,639.75/x
  3. Step 3: Cross multiply
    204,500.25x = 339,639.75 × 339,639.75
  4. Step 4: Simplify right side
    204,500.25x = 115,355,159,780.06
  5. Step 5: Solve for x
    x = 115,355,159,780.06/204,500.25
  6. Step 6: Final answer
    x = 564,083.22

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.