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Finding the Third Proportional to 123,219 and 185,375

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Solution

The third proportional to 123,219 and 185,375 is: 278,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,219 : 185,375 = 185,375 : x
  2. Step 2: Convert to fraction form
    123,219/185,375 = 185,375/x
  3. Step 3: Cross multiply
    123,219x = 185,375 × 185,375
  4. Step 4: Simplify right side
    123,219x = 34,363,890,625
  5. Step 5: Solve for x
    x = 34,363,890,625/123,219
  6. Step 6: Final answer
    x = 278,884.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.