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Finding the Third Proportional to 159,839 and 238,664

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Solution

The third proportional to 159,839 and 238,664 is: 356,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,839 : 238,664 = 238,664 : x
  2. Step 2: Convert to fraction form
    159,839/238,664 = 238,664/x
  3. Step 3: Cross multiply
    159,839x = 238,664 × 238,664
  4. Step 4: Simplify right side
    159,839x = 56,960,504,896
  5. Step 5: Solve for x
    x = 56,960,504,896/159,839
  6. Step 6: Final answer
    x = 356,361.74

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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.