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Finding the Third Proportional to 159,427 and 244,163

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Solution

The third proportional to 159,427 and 244,163 is: 373,936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,427 : 244,163 = 244,163 : x
  2. Step 2: Convert to fraction form
    159,427/244,163 = 244,163/x
  3. Step 3: Cross multiply
    159,427x = 244,163 × 244,163
  4. Step 4: Simplify right side
    159,427x = 59,615,570,569
  5. Step 5: Solve for x
    x = 59,615,570,569/159,427
  6. Step 6: Final answer
    x = 373,936.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.