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Finding the Third Proportional to 159,841 and 238,667

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Solution

The third proportional to 159,841 and 238,667 is: 356,366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,841 : 238,667 = 238,667 : x
  2. Step 2: Convert to fraction form
    159,841/238,667 = 238,667/x
  3. Step 3: Cross multiply
    159,841x = 238,667 × 238,667
  4. Step 4: Simplify right side
    159,841x = 56,961,936,889
  5. Step 5: Solve for x
    x = 56,961,936,889/159,841
  6. Step 6: Final answer
    x = 356,366.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.