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Finding the Third Proportional to 167,839.50 and 365,192.25

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Solution

The third proportional to 167,839.50 and 365,192.25 is: 794,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,839.50 : 365,192.25 = 365,192.25 : x
  2. Step 2: Convert to fraction form
    167,839.50/365,192.25 = 365,192.25/x
  3. Step 3: Cross multiply
    167,839.50x = 365,192.25 × 365,192.25
  4. Step 4: Simplify right side
    167,839.50x = 133,365,379,460.06
  5. Step 5: Solve for x
    x = 133,365,379,460.06/167,839.50
  6. Step 6: Final answer
    x = 794,600.67

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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.