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Finding the Third Proportional to 166,596.20 and 324,888.63

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Solution

The third proportional to 166,596.20 and 324,888.63 is: 633,583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,596.20 : 324,888.63 = 324,888.63 : x
  2. Step 2: Convert to fraction form
    166,596.20/324,888.63 = 324,888.63/x
  3. Step 3: Cross multiply
    166,596.20x = 324,888.63 × 324,888.63
  4. Step 4: Simplify right side
    166,596.20x = 105,552,619,923.48
  5. Step 5: Solve for x
    x = 105,552,619,923.48/166,596.20
  6. Step 6: Final answer
    x = 633,583.61

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Why These Related Problems?

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