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Finding the Third Proportional to 166,159 and 362,393

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Solution

The third proportional to 166,159 and 362,393 is: 790,379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,159 : 362,393 = 362,393 : x
  2. Step 2: Convert to fraction form
    166,159/362,393 = 362,393/x
  3. Step 3: Cross multiply
    166,159x = 362,393 × 362,393
  4. Step 4: Simplify right side
    166,159x = 131,328,686,449
  5. Step 5: Solve for x
    x = 131,328,686,449/166,159
  6. Step 6: Final answer
    x = 790,379.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.