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Finding the Third Proportional to 166,458.38 and 260,843.63

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Solution

The third proportional to 166,458.38 and 260,843.63 is: 408,747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,458.38 : 260,843.63 = 260,843.63 : x
  2. Step 2: Convert to fraction form
    166,458.38/260,843.63 = 260,843.63/x
  3. Step 3: Cross multiply
    166,458.38x = 260,843.63 × 260,843.63
  4. Step 4: Simplify right side
    166,458.38x = 68,039,396,703.14
  5. Step 5: Solve for x
    x = 68,039,396,703.14/166,458.38
  6. Step 6: Final answer
    x = 408,747.21

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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.