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Finding the Third Proportional to 190,354 and 267,823

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Solution

The third proportional to 190,354 and 267,823 is: 376,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,354 : 267,823 = 267,823 : x
  2. Step 2: Convert to fraction form
    190,354/267,823 = 267,823/x
  3. Step 3: Cross multiply
    190,354x = 267,823 × 267,823
  4. Step 4: Simplify right side
    190,354x = 71,729,159,329
  5. Step 5: Solve for x
    x = 71,729,159,329/190,354
  6. Step 6: Final answer
    x = 376,819.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.