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Finding the Third Proportional to 116,367 and 251,301

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Solution

The third proportional to 116,367 and 251,301 is: 542,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,367 : 251,301 = 251,301 : x
  2. Step 2: Convert to fraction form
    116,367/251,301 = 251,301/x
  3. Step 3: Cross multiply
    116,367x = 251,301 × 251,301
  4. Step 4: Simplify right side
    116,367x = 63,152,192,601
  5. Step 5: Solve for x
    x = 63,152,192,601/116,367
  6. Step 6: Final answer
    x = 542,698.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.