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Finding the Third Proportional to 170,642 and 235,227

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Solution

The third proportional to 170,642 and 235,227 is: 324,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,642 : 235,227 = 235,227 : x
  2. Step 2: Convert to fraction form
    170,642/235,227 = 235,227/x
  3. Step 3: Cross multiply
    170,642x = 235,227 × 235,227
  4. Step 4: Simplify right side
    170,642x = 55,331,741,529
  5. Step 5: Solve for x
    x = 55,331,741,529/170,642
  6. Step 6: Final answer
    x = 324,256.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.