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Finding the Third Proportional to 150,351.19 and 324,207.56

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Solution

The third proportional to 150,351.19 and 324,207.56 is: 699,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,351.19 : 324,207.56 = 324,207.56 : x
  2. Step 2: Convert to fraction form
    150,351.19/324,207.56 = 324,207.56/x
  3. Step 3: Cross multiply
    150,351.19x = 324,207.56 × 324,207.56
  4. Step 4: Simplify right side
    150,351.19x = 105,110,543,582.19
  5. Step 5: Solve for x
    x = 105,110,543,582.19/150,351.19
  6. Step 6: Final answer
    x = 699,100.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.