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Finding the Third Proportional to 167,060 and 347,944

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Solution

The third proportional to 167,060 and 347,944 is: 724,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,060 : 347,944 = 347,944 : x
  2. Step 2: Convert to fraction form
    167,060/347,944 = 347,944/x
  3. Step 3: Cross multiply
    167,060x = 347,944 × 347,944
  4. Step 4: Simplify right side
    167,060x = 121,065,027,136
  5. Step 5: Solve for x
    x = 121,065,027,136/167,060
  6. Step 6: Final answer
    x = 724,679.92

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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.