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Finding the Third Proportional to 151,419.50 and 327,918

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Solution

The third proportional to 151,419.50 and 327,918 is: 710,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,419.50 : 327,918 = 327,918 : x
  2. Step 2: Convert to fraction form
    151,419.50/327,918 = 327,918/x
  3. Step 3: Cross multiply
    151,419.50x = 327,918 × 327,918
  4. Step 4: Simplify right side
    151,419.50x = 107,530,214,724
  5. Step 5: Solve for x
    x = 107,530,214,724/151,419.50
  6. Step 6: Final answer
    x = 710,147.73

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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.