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Finding the Third Proportional to 149,816.81 and 321,867.56

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Solution

The third proportional to 149,816.81 and 321,867.56 is: 691,502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,816.81 : 321,867.56 = 321,867.56 : x
  2. Step 2: Convert to fraction form
    149,816.81/321,867.56 = 321,867.56/x
  3. Step 3: Cross multiply
    149,816.81x = 321,867.56 × 321,867.56
  4. Step 4: Simplify right side
    149,816.81x = 103,598,727,789.69
  5. Step 5: Solve for x
    x = 103,598,727,789.69/149,816.81
  6. Step 6: Final answer
    x = 691,502.68

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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.