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Finding the Third Proportional to 192,232.69 and 298,420.31

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Solution

The third proportional to 192,232.69 and 298,420.31 is: 463,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,232.69 : 298,420.31 = 298,420.31 : x
  2. Step 2: Convert to fraction form
    192,232.69/298,420.31 = 298,420.31/x
  3. Step 3: Cross multiply
    192,232.69x = 298,420.31 × 298,420.31
  4. Step 4: Simplify right side
    192,232.69x = 89,054,682,912.60
  5. Step 5: Solve for x
    x = 89,054,682,912.60/192,232.69
  6. Step 6: Final answer
    x = 463,265.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.