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Finding the Third Proportional to 149,770.50 and 324,462

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Solution

The third proportional to 149,770.50 and 324,462 is: 702,912.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,770.50 : 324,462 = 324,462 : x
  2. Step 2: Convert to fraction form
    149,770.50/324,462 = 324,462/x
  3. Step 3: Cross multiply
    149,770.50x = 324,462 × 324,462
  4. Step 4: Simplify right side
    149,770.50x = 105,275,589,444
  5. Step 5: Solve for x
    x = 105,275,589,444/149,770.50
  6. Step 6: Final answer
    x = 702,912.72

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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.