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Finding the Third Proportional to 150,505.75 and 327,998.74

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Solution

The third proportional to 150,505.75 and 327,998.74 is: 714,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,505.75 : 327,998.74 = 327,998.74 : x
  2. Step 2: Convert to fraction form
    150,505.75/327,998.74 = 327,998.74/x
  3. Step 3: Cross multiply
    150,505.75x = 327,998.74 × 327,998.74
  4. Step 4: Simplify right side
    150,505.75x = 107,583,174,876.58
  5. Step 5: Solve for x
    x = 107,583,174,876.58/150,505.75
  6. Step 6: Final answer
    x = 714,811.05

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Why These Related Problems?

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