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Finding the Third Proportional to 166,331.75 and 260,584.38

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Solution

The third proportional to 166,331.75 and 260,584.38 is: 408,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,331.75 : 260,584.38 = 260,584.38 : x
  2. Step 2: Convert to fraction form
    166,331.75/260,584.38 = 260,584.38/x
  3. Step 3: Cross multiply
    166,331.75x = 260,584.38 × 260,584.38
  4. Step 4: Simplify right side
    166,331.75x = 67,904,216,494.14
  5. Step 5: Solve for x
    x = 67,904,216,494.14/166,331.75
  6. Step 6: Final answer
    x = 408,245.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.