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Finding the Third Proportional to 167,280 and 367,824

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Solution

The third proportional to 167,280 and 367,824 is: 808,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,280 : 367,824 = 367,824 : x
  2. Step 2: Convert to fraction form
    167,280/367,824 = 367,824/x
  3. Step 3: Cross multiply
    167,280x = 367,824 × 367,824
  4. Step 4: Simplify right side
    167,280x = 135,294,494,976
  5. Step 5: Solve for x
    x = 135,294,494,976/167,280
  6. Step 6: Final answer
    x = 808,790.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.