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Finding the Third Proportional to 166,682 and 264,786.50

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Solution

The third proportional to 166,682 and 264,786.50 is: 420,632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,682 : 264,786.50 = 264,786.50 : x
  2. Step 2: Convert to fraction form
    166,682/264,786.50 = 264,786.50/x
  3. Step 3: Cross multiply
    166,682x = 264,786.50 × 264,786.50
  4. Step 4: Simplify right side
    166,682x = 70,111,890,582.25
  5. Step 5: Solve for x
    x = 70,111,890,582.25/166,682
  6. Step 6: Final answer
    x = 420,632.65

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.