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Finding the Third Proportional to 192,840 and 395,076

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Solution

The third proportional to 192,840 and 395,076 is: 809,401.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,840 : 395,076 = 395,076 : x
  2. Step 2: Convert to fraction form
    192,840/395,076 = 395,076/x
  3. Step 3: Cross multiply
    192,840x = 395,076 × 395,076
  4. Step 4: Simplify right side
    192,840x = 156,085,045,776
  5. Step 5: Solve for x
    x = 156,085,045,776/192,840
  6. Step 6: Final answer
    x = 809,401.81

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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.