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Finding the Third Proportional to 149,743.13 and 327,120.75

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Solution

The third proportional to 149,743.13 and 327,120.75 is: 714,610.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,743.13 : 327,120.75 = 327,120.75 : x
  2. Step 2: Convert to fraction form
    149,743.13/327,120.75 = 327,120.75/x
  3. Step 3: Cross multiply
    149,743.13x = 327,120.75 × 327,120.75
  4. Step 4: Simplify right side
    149,743.13x = 107,007,985,080.56
  5. Step 5: Solve for x
    x = 107,007,985,080.56/149,743.13
  6. Step 6: Final answer
    x = 714,610.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.