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Finding the Third Proportional to 119,826 and 183,375

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Solution

The third proportional to 119,826 and 183,375 is: 280,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,826 : 183,375 = 183,375 : x
  2. Step 2: Convert to fraction form
    119,826/183,375 = 183,375/x
  3. Step 3: Cross multiply
    119,826x = 183,375 × 183,375
  4. Step 4: Simplify right side
    119,826x = 33,626,390,625
  5. Step 5: Solve for x
    x = 33,626,390,625/119,826
  6. Step 6: Final answer
    x = 280,626.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.