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Finding the Third Proportional to 167,213 and 261,917

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Solution

The third proportional to 167,213 and 261,917 is: 410,258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,213 : 261,917 = 261,917 : x
  2. Step 2: Convert to fraction form
    167,213/261,917 = 261,917/x
  3. Step 3: Cross multiply
    167,213x = 261,917 × 261,917
  4. Step 4: Simplify right side
    167,213x = 68,600,514,889
  5. Step 5: Solve for x
    x = 68,600,514,889/167,213
  6. Step 6: Final answer
    x = 410,258.26

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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.