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Finding the Third Proportional to 238,180.50 and 379,140.75

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Solution

The third proportional to 238,180.50 and 379,140.75 is: 603,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,180.50 : 379,140.75 = 379,140.75 : x
  2. Step 2: Convert to fraction form
    238,180.50/379,140.75 = 379,140.75/x
  3. Step 3: Cross multiply
    238,180.50x = 379,140.75 × 379,140.75
  4. Step 4: Simplify right side
    238,180.50x = 143,747,708,310.56
  5. Step 5: Solve for x
    x = 143,747,708,310.56/238,180.50
  6. Step 6: Final answer
    x = 603,524.25

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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.