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Finding the Third Proportional to 167,058 and 347,940

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Solution

The third proportional to 167,058 and 347,940 is: 724,671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,058 : 347,940 = 347,940 : x
  2. Step 2: Convert to fraction form
    167,058/347,940 = 347,940/x
  3. Step 3: Cross multiply
    167,058x = 347,940 × 347,940
  4. Step 4: Simplify right side
    167,058x = 121,062,243,600
  5. Step 5: Solve for x
    x = 121,062,243,600/167,058
  6. Step 6: Final answer
    x = 724,671.93

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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.