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Finding the Third Proportional to 159,744 and 340,848

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Solution

The third proportional to 159,744 and 340,848 is: 727,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,744 : 340,848 = 340,848 : x
  2. Step 2: Convert to fraction form
    159,744/340,848 = 340,848/x
  3. Step 3: Cross multiply
    159,744x = 340,848 × 340,848
  4. Step 4: Simplify right side
    159,744x = 116,177,359,104
  5. Step 5: Solve for x
    x = 116,177,359,104/159,744
  6. Step 6: Final answer
    x = 727,272.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.