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Finding the Third Proportional to 166,287.94 and 365,787.14

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Solution

The third proportional to 166,287.94 and 365,787.14 is: 804,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,287.94 : 365,787.14 = 365,787.14 : x
  2. Step 2: Convert to fraction form
    166,287.94/365,787.14 = 365,787.14/x
  3. Step 3: Cross multiply
    166,287.94x = 365,787.14 × 365,787.14
  4. Step 4: Simplify right side
    166,287.94x = 133,800,232,246.61
  5. Step 5: Solve for x
    x = 133,800,232,246.61/166,287.94
  6. Step 6: Final answer
    x = 804,629.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.