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Finding the Third Proportional to 115,206 and 239,611

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Solution

The third proportional to 115,206 and 239,611 is: 498,354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,206 : 239,611 = 239,611 : x
  2. Step 2: Convert to fraction form
    115,206/239,611 = 239,611/x
  3. Step 3: Cross multiply
    115,206x = 239,611 × 239,611
  4. Step 4: Simplify right side
    115,206x = 57,413,431,321
  5. Step 5: Solve for x
    x = 57,413,431,321/115,206
  6. Step 6: Final answer
    x = 498,354.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.