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Finding the Third Proportional to 238,183.50 and 379,146

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Solution

The third proportional to 238,183.50 and 379,146 is: 603,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,183.50 : 379,146 = 379,146 : x
  2. Step 2: Convert to fraction form
    238,183.50/379,146 = 379,146/x
  3. Step 3: Cross multiply
    238,183.50x = 379,146 × 379,146
  4. Step 4: Simplify right side
    238,183.50x = 143,751,689,316
  5. Step 5: Solve for x
    x = 143,751,689,316/238,183.50
  6. Step 6: Final answer
    x = 603,533.37

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.