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Finding the Third Proportional to 183,087.21 and 274,451.41

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Solution

The third proportional to 183,087.21 and 274,451.41 is: 411,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,087.21 : 274,451.41 = 274,451.41 : x
  2. Step 2: Convert to fraction form
    183,087.21/274,451.41 = 274,451.41/x
  3. Step 3: Cross multiply
    183,087.21x = 274,451.41 × 274,451.41
  4. Step 4: Simplify right side
    183,087.21x = 75,323,578,680.91
  5. Step 5: Solve for x
    x = 75,323,578,680.91/183,087.21
  6. Step 6: Final answer
    x = 411,408.19

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Why These Related Problems?

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