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Finding the Third Proportional to 166,226.63 and 324,145.69

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Solution

The third proportional to 166,226.63 and 324,145.69 is: 632,091.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,226.63 : 324,145.69 = 324,145.69 : x
  2. Step 2: Convert to fraction form
    166,226.63/324,145.69 = 324,145.69/x
  3. Step 3: Cross multiply
    166,226.63x = 324,145.69 × 324,145.69
  4. Step 4: Simplify right side
    166,226.63x = 105,070,426,724.85
  5. Step 5: Solve for x
    x = 105,070,426,724.85/166,226.63
  6. Step 6: Final answer
    x = 632,091.44

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.