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Finding the Third Proportional to 218,171.75 and 337,625.75

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Solution

The third proportional to 218,171.75 and 337,625.75 is: 522,483.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,171.75 : 337,625.75 = 337,625.75 : x
  2. Step 2: Convert to fraction form
    218,171.75/337,625.75 = 337,625.75/x
  3. Step 3: Cross multiply
    218,171.75x = 337,625.75 × 337,625.75
  4. Step 4: Simplify right side
    218,171.75x = 113,991,147,063.06
  5. Step 5: Solve for x
    x = 113,991,147,063.06/218,171.75
  6. Step 6: Final answer
    x = 522,483.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.