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Finding the Third Proportional to 167,078 and 347,980

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Solution

The third proportional to 167,078 and 347,980 is: 724,751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,078 : 347,980 = 347,980 : x
  2. Step 2: Convert to fraction form
    167,078/347,980 = 347,980/x
  3. Step 3: Cross multiply
    167,078x = 347,980 × 347,980
  4. Step 4: Simplify right side
    167,078x = 121,090,080,400
  5. Step 5: Solve for x
    x = 121,090,080,400/167,078
  6. Step 6: Final answer
    x = 724,751.79

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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.