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Finding the Third Proportional to 166,286.25 and 364,766.63

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Solution

The third proportional to 166,286.25 and 364,766.63 is: 800,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,286.25 : 364,766.63 = 364,766.63 : x
  2. Step 2: Convert to fraction form
    166,286.25/364,766.63 = 364,766.63/x
  3. Step 3: Cross multiply
    166,286.25x = 364,766.63 × 364,766.63
  4. Step 4: Simplify right side
    166,286.25x = 133,054,690,713.89
  5. Step 5: Solve for x
    x = 133,054,690,713.89/166,286.25
  6. Step 6: Final answer
    x = 800,154.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.