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Finding the Third Proportional to 167,110 and 347,992

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Solution

The third proportional to 167,110 and 347,992 is: 724,662.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,110 : 347,992 = 347,992 : x
  2. Step 2: Convert to fraction form
    167,110/347,992 = 347,992/x
  3. Step 3: Cross multiply
    167,110x = 347,992 × 347,992
  4. Step 4: Simplify right side
    167,110x = 121,098,432,064
  5. Step 5: Solve for x
    x = 121,098,432,064/167,110
  6. Step 6: Final answer
    x = 724,662.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.