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Finding the Third Proportional to 170,379 and 238,914

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Solution

The third proportional to 170,379 and 238,914 is: 335,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,379 : 238,914 = 238,914 : x
  2. Step 2: Convert to fraction form
    170,379/238,914 = 238,914/x
  3. Step 3: Cross multiply
    170,379x = 238,914 × 238,914
  4. Step 4: Simplify right side
    170,379x = 57,079,899,396
  5. Step 5: Solve for x
    x = 57,079,899,396/170,379
  6. Step 6: Final answer
    x = 335,017.22

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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.