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Finding the Third Proportional to 167,135.50 and 365,851

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Solution

The third proportional to 167,135.50 and 365,851 is: 800,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,135.50 : 365,851 = 365,851 : x
  2. Step 2: Convert to fraction form
    167,135.50/365,851 = 365,851/x
  3. Step 3: Cross multiply
    167,135.50x = 365,851 × 365,851
  4. Step 4: Simplify right side
    167,135.50x = 133,846,954,201
  5. Step 5: Solve for x
    x = 133,846,954,201/167,135.50
  6. Step 6: Final answer
    x = 800,828.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.