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Finding the Third Proportional to 170,381 and 238,917

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Solution

The third proportional to 170,381 and 238,917 is: 335,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,381 : 238,917 = 238,917 : x
  2. Step 2: Convert to fraction form
    170,381/238,917 = 238,917/x
  3. Step 3: Cross multiply
    170,381x = 238,917 × 238,917
  4. Step 4: Simplify right side
    170,381x = 57,081,332,889
  5. Step 5: Solve for x
    x = 57,081,332,889/170,381
  6. Step 6: Final answer
    x = 335,021.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.