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Finding the Third Proportional to 159,843.38 and 238,671

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Solution

The third proportional to 159,843.38 and 238,671 is: 356,372.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,843.38 : 238,671 = 238,671 : x
  2. Step 2: Convert to fraction form
    159,843.38/238,671 = 238,671/x
  3. Step 3: Cross multiply
    159,843.38x = 238,671 × 238,671
  4. Step 4: Simplify right side
    159,843.38x = 56,963,846,241
  5. Step 5: Solve for x
    x = 56,963,846,241/159,843.38
  6. Step 6: Final answer
    x = 356,372.89

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