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Finding the Third Proportional to 192,405.38 and 295,989.19

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Solution

The third proportional to 192,405.38 and 295,989.19 is: 455,338.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,405.38 : 295,989.19 = 295,989.19 : x
  2. Step 2: Convert to fraction form
    192,405.38/295,989.19 = 295,989.19/x
  3. Step 3: Cross multiply
    192,405.38x = 295,989.19 × 295,989.19
  4. Step 4: Simplify right side
    192,405.38x = 87,609,599,116.91
  5. Step 5: Solve for x
    x = 87,609,599,116.91/192,405.38
  6. Step 6: Final answer
    x = 455,338.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.