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Finding the Third Proportional to 159,292 and 347,096

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Solution

The third proportional to 159,292 and 347,096 is: 756,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,292 : 347,096 = 347,096 : x
  2. Step 2: Convert to fraction form
    159,292/347,096 = 347,096/x
  3. Step 3: Cross multiply
    159,292x = 347,096 × 347,096
  4. Step 4: Simplify right side
    159,292x = 120,475,633,216
  5. Step 5: Solve for x
    x = 120,475,633,216/159,292
  6. Step 6: Final answer
    x = 756,319.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.