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Finding the Third Proportional to 167,107.69 and 347,984.63

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Solution

The third proportional to 167,107.69 and 347,984.63 is: 724,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,107.69 : 347,984.63 = 347,984.63 : x
  2. Step 2: Convert to fraction form
    167,107.69/347,984.63 = 347,984.63/x
  3. Step 3: Cross multiply
    167,107.69x = 347,984.63 × 347,984.63
  4. Step 4: Simplify right side
    167,107.69x = 121,093,299,236.39
  5. Step 5: Solve for x
    x = 121,093,299,236.39/167,107.69
  6. Step 6: Final answer
    x = 724,642.30

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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.