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Finding the Third Proportional to 193,655.25 and 419,487.75

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Solution

The third proportional to 193,655.25 and 419,487.75 is: 908,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,655.25 : 419,487.75 = 419,487.75 : x
  2. Step 2: Convert to fraction form
    193,655.25/419,487.75 = 419,487.75/x
  3. Step 3: Cross multiply
    193,655.25x = 419,487.75 × 419,487.75
  4. Step 4: Simplify right side
    193,655.25x = 175,969,972,400.06
  5. Step 5: Solve for x
    x = 175,969,972,400.06/193,655.25
  6. Step 6: Final answer
    x = 908,676.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.