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Finding the Third Proportional to 192,804.75 and 417,787.88

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Solution

The third proportional to 192,804.75 and 417,787.88 is: 905,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,804.75 : 417,787.88 = 417,787.88 : x
  2. Step 2: Convert to fraction form
    192,804.75/417,787.88 = 417,787.88/x
  3. Step 3: Cross multiply
    192,804.75x = 417,787.88 × 417,787.88
  4. Step 4: Simplify right side
    192,804.75x = 174,546,708,497.02
  5. Step 5: Solve for x
    x = 174,546,708,497.02/192,804.75
  6. Step 6: Final answer
    x = 905,302.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.