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Finding the Third Proportional to 159,204 and 347,934

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Solution

The third proportional to 159,204 and 347,934 is: 760,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,204 : 347,934 = 347,934 : x
  2. Step 2: Convert to fraction form
    159,204/347,934 = 347,934/x
  3. Step 3: Cross multiply
    159,204x = 347,934 × 347,934
  4. Step 4: Simplify right side
    159,204x = 121,058,068,356
  5. Step 5: Solve for x
    x = 121,058,068,356/159,204
  6. Step 6: Final answer
    x = 760,395.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.