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Finding the Third Proportional to 117,966 and 256,667

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Solution

The third proportional to 117,966 and 256,667 is: 558,448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,966 : 256,667 = 256,667 : x
  2. Step 2: Convert to fraction form
    117,966/256,667 = 256,667/x
  3. Step 3: Cross multiply
    117,966x = 256,667 × 256,667
  4. Step 4: Simplify right side
    117,966x = 65,877,948,889
  5. Step 5: Solve for x
    x = 65,877,948,889/117,966
  6. Step 6: Final answer
    x = 558,448.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.