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Finding the Third Proportional to 167,926 and 255,898

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Solution

The third proportional to 167,926 and 255,898 is: 389,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,926 : 255,898 = 255,898 : x
  2. Step 2: Convert to fraction form
    167,926/255,898 = 255,898/x
  3. Step 3: Cross multiply
    167,926x = 255,898 × 255,898
  4. Step 4: Simplify right side
    167,926x = 65,483,786,404
  5. Step 5: Solve for x
    x = 65,483,786,404/167,926
  6. Step 6: Final answer
    x = 389,956.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.