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Finding the Third Proportional to 192,820.50 and 395,037

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Solution

The third proportional to 192,820.50 and 395,037 is: 809,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,820.50 : 395,037 = 395,037 : x
  2. Step 2: Convert to fraction form
    192,820.50/395,037 = 395,037/x
  3. Step 3: Cross multiply
    192,820.50x = 395,037 × 395,037
  4. Step 4: Simplify right side
    192,820.50x = 156,054,231,369
  5. Step 5: Solve for x
    x = 156,054,231,369/192,820.50
  6. Step 6: Final answer
    x = 809,323.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.