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Finding the Third Proportional to 69,234.50 and 150,619

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Solution

The third proportional to 69,234.50 and 150,619 is: 327,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,234.50 : 150,619 = 150,619 : x
  2. Step 2: Convert to fraction form
    69,234.50/150,619 = 150,619/x
  3. Step 3: Cross multiply
    69,234.50x = 150,619 × 150,619
  4. Step 4: Simplify right side
    69,234.50x = 22,686,083,161
  5. Step 5: Solve for x
    x = 22,686,083,161/69,234.50
  6. Step 6: Final answer
    x = 327,670.21

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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.