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Finding the Third Proportional to 167,113.50 and 347,997

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Solution

The third proportional to 167,113.50 and 347,997 is: 724,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,113.50 : 347,997 = 347,997 : x
  2. Step 2: Convert to fraction form
    167,113.50/347,997 = 347,997/x
  3. Step 3: Cross multiply
    167,113.50x = 347,997 × 347,997
  4. Step 4: Simplify right side
    167,113.50x = 121,101,912,009
  5. Step 5: Solve for x
    x = 121,101,912,009/167,113.50
  6. Step 6: Final answer
    x = 724,668.64

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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.