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Finding the Third Proportional to 203,627.25 and 337,560.75

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Solution

The third proportional to 203,627.25 and 337,560.75 is: 559,587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,627.25 : 337,560.75 = 337,560.75 : x
  2. Step 2: Convert to fraction form
    203,627.25/337,560.75 = 337,560.75/x
  3. Step 3: Cross multiply
    203,627.25x = 337,560.75 × 337,560.75
  4. Step 4: Simplify right side
    203,627.25x = 113,947,259,940.56
  5. Step 5: Solve for x
    x = 113,947,259,940.56/203,627.25
  6. Step 6: Final answer
    x = 559,587.48

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