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Finding the Third Proportional to 150,889.50 and 327,738

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Solution

The third proportional to 150,889.50 and 327,738 is: 711,859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,889.50 : 327,738 = 327,738 : x
  2. Step 2: Convert to fraction form
    150,889.50/327,738 = 327,738/x
  3. Step 3: Cross multiply
    150,889.50x = 327,738 × 327,738
  4. Step 4: Simplify right side
    150,889.50x = 107,412,196,644
  5. Step 5: Solve for x
    x = 107,412,196,644/150,889.50
  6. Step 6: Final answer
    x = 711,859.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.