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Finding the Third Proportional to 147,809.25 and 324,231.75

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Solution

The third proportional to 147,809.25 and 324,231.75 is: 711,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,809.25 : 324,231.75 = 324,231.75 : x
  2. Step 2: Convert to fraction form
    147,809.25/324,231.75 = 324,231.75/x
  3. Step 3: Cross multiply
    147,809.25x = 324,231.75 × 324,231.75
  4. Step 4: Simplify right side
    147,809.25x = 105,126,227,708.06
  5. Step 5: Solve for x
    x = 105,126,227,708.06/147,809.25
  6. Step 6: Final answer
    x = 711,229.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.