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Finding the Third Proportional to 168,483 and 253,408.50

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Solution

The third proportional to 168,483 and 253,408.50 is: 381,141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,483 : 253,408.50 = 253,408.50 : x
  2. Step 2: Convert to fraction form
    168,483/253,408.50 = 253,408.50/x
  3. Step 3: Cross multiply
    168,483x = 253,408.50 × 253,408.50
  4. Step 4: Simplify right side
    168,483x = 64,215,867,872.25
  5. Step 5: Solve for x
    x = 64,215,867,872.25/168,483
  6. Step 6: Final answer
    x = 381,141.53

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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.