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Finding the Third Proportional to 171,159 and 266,067

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Solution

The third proportional to 171,159 and 266,067 is: 413,601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,159 : 266,067 = 266,067 : x
  2. Step 2: Convert to fraction form
    171,159/266,067 = 266,067/x
  3. Step 3: Cross multiply
    171,159x = 266,067 × 266,067
  4. Step 4: Simplify right side
    171,159x = 70,791,648,489
  5. Step 5: Solve for x
    x = 70,791,648,489/171,159
  6. Step 6: Final answer
    x = 413,601.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.