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Finding the Third Proportional to 167,114.50 and 347,999

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Solution

The third proportional to 167,114.50 and 347,999 is: 724,672.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,114.50 : 347,999 = 347,999 : x
  2. Step 2: Convert to fraction form
    167,114.50/347,999 = 347,999/x
  3. Step 3: Cross multiply
    167,114.50x = 347,999 × 347,999
  4. Step 4: Simplify right side
    167,114.50x = 121,103,304,001
  5. Step 5: Solve for x
    x = 121,103,304,001/167,114.50
  6. Step 6: Final answer
    x = 724,672.63

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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.