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Finding the Third Proportional to 167,111 and 347,991

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Solution

The third proportional to 167,111 and 347,991 is: 724,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,111 : 347,991 = 347,991 : x
  2. Step 2: Convert to fraction form
    167,111/347,991 = 347,991/x
  3. Step 3: Cross multiply
    167,111x = 347,991 × 347,991
  4. Step 4: Simplify right side
    167,111x = 121,097,736,081
  5. Step 5: Solve for x
    x = 121,097,736,081/167,111
  6. Step 6: Final answer
    x = 724,654.49

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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.