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Finding the Third Proportional to 193,551.50 and 416,764.75

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Solution

The third proportional to 193,551.50 and 416,764.75 is: 897,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,551.50 : 416,764.75 = 416,764.75 : x
  2. Step 2: Convert to fraction form
    193,551.50/416,764.75 = 416,764.75/x
  3. Step 3: Cross multiply
    193,551.50x = 416,764.75 × 416,764.75
  4. Step 4: Simplify right side
    193,551.50x = 173,692,856,842.56
  5. Step 5: Solve for x
    x = 173,692,856,842.56/193,551.50
  6. Step 6: Final answer
    x = 897,398.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.