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Finding the Third Proportional to 238,018.50 and 326,379.38

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Solution

The third proportional to 238,018.50 and 326,379.38 is: 447,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,018.50 : 326,379.38 = 326,379.38 : x
  2. Step 2: Convert to fraction form
    238,018.50/326,379.38 = 326,379.38/x
  3. Step 3: Cross multiply
    238,018.50x = 326,379.38 × 326,379.38
  4. Step 4: Simplify right side
    238,018.50x = 106,523,496,425.39
  5. Step 5: Solve for x
    x = 106,523,496,425.39/238,018.50
  6. Step 6: Final answer
    x = 447,542.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.