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Finding the Third Proportional to 149,891.50 and 324,245

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Solution

The third proportional to 149,891.50 and 324,245 is: 701,406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,891.50 : 324,245 = 324,245 : x
  2. Step 2: Convert to fraction form
    149,891.50/324,245 = 324,245/x
  3. Step 3: Cross multiply
    149,891.50x = 324,245 × 324,245
  4. Step 4: Simplify right side
    149,891.50x = 105,134,820,025
  5. Step 5: Solve for x
    x = 105,134,820,025/149,891.50
  6. Step 6: Final answer
    x = 701,406.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.