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Finding the Third Proportional to 159,834.38 and 238,658.06

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Solution

The third proportional to 159,834.38 and 238,658.06 is: 356,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,834.38 : 238,658.06 = 238,658.06 : x
  2. Step 2: Convert to fraction form
    159,834.38/238,658.06 = 238,658.06/x
  3. Step 3: Cross multiply
    159,834.38x = 238,658.06 × 238,658.06
  4. Step 4: Simplify right side
    159,834.38x = 56,957,670,796.25
  5. Step 5: Solve for x
    x = 56,957,670,796.25/159,834.38
  6. Step 6: Final answer
    x = 356,354.32

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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.