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Finding the Third Proportional to 167,056 and 347,936

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Solution

The third proportional to 167,056 and 347,936 is: 724,663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,056 : 347,936 = 347,936 : x
  2. Step 2: Convert to fraction form
    167,056/347,936 = 347,936/x
  3. Step 3: Cross multiply
    167,056x = 347,936 × 347,936
  4. Step 4: Simplify right side
    167,056x = 121,059,460,096
  5. Step 5: Solve for x
    x = 121,059,460,096/167,056
  6. Step 6: Final answer
    x = 724,663.95

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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.