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Finding the Third Proportional to 171,013.50 and 263,243.25

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Solution

The third proportional to 171,013.50 and 263,243.25 is: 405,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,013.50 : 263,243.25 = 263,243.25 : x
  2. Step 2: Convert to fraction form
    171,013.50/263,243.25 = 263,243.25/x
  3. Step 3: Cross multiply
    171,013.50x = 263,243.25 × 263,243.25
  4. Step 4: Simplify right side
    171,013.50x = 69,297,008,670.56
  5. Step 5: Solve for x
    x = 69,297,008,670.56/171,013.50
  6. Step 6: Final answer
    x = 405,213.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.