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Finding the Third Proportional to 159,849 and 238,676

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Solution

The third proportional to 159,849 and 238,676 is: 356,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,849 : 238,676 = 238,676 : x
  2. Step 2: Convert to fraction form
    159,849/238,676 = 238,676/x
  3. Step 3: Cross multiply
    159,849x = 238,676 × 238,676
  4. Step 4: Simplify right side
    159,849x = 56,966,232,976
  5. Step 5: Solve for x
    x = 56,966,232,976/159,849
  6. Step 6: Final answer
    x = 356,375.29

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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.