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Finding the Third Proportional to 167,102 and 347,974.50

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Solution

The third proportional to 167,102 and 347,974.50 is: 724,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,102 : 347,974.50 = 347,974.50 : x
  2. Step 2: Convert to fraction form
    167,102/347,974.50 = 347,974.50/x
  3. Step 3: Cross multiply
    167,102x = 347,974.50 × 347,974.50
  4. Step 4: Simplify right side
    167,102x = 121,086,252,650.25
  5. Step 5: Solve for x
    x = 121,086,252,650.25/167,102
  6. Step 6: Final answer
    x = 724,624.80

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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.