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Finding the Third Proportional to 193,697.25 and 419,565.75

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Solution

The third proportional to 193,697.25 and 419,565.75 is: 908,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,697.25 : 419,565.75 = 419,565.75 : x
  2. Step 2: Convert to fraction form
    193,697.25/419,565.75 = 419,565.75/x
  3. Step 3: Cross multiply
    193,697.25x = 419,565.75 × 419,565.75
  4. Step 4: Simplify right side
    193,697.25x = 176,035,418,573.06
  5. Step 5: Solve for x
    x = 176,035,418,573.06/193,697.25
  6. Step 6: Final answer
    x = 908,817.34

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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.