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Finding the Third Proportional to 197,716.50 and 299,346.75

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Solution

The third proportional to 197,716.50 and 299,346.75 is: 453,216.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,716.50 : 299,346.75 = 299,346.75 : x
  2. Step 2: Convert to fraction form
    197,716.50/299,346.75 = 299,346.75/x
  3. Step 3: Cross multiply
    197,716.50x = 299,346.75 × 299,346.75
  4. Step 4: Simplify right side
    197,716.50x = 89,608,476,735.56
  5. Step 5: Solve for x
    x = 89,608,476,735.56/197,716.50
  6. Step 6: Final answer
    x = 453,216.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.