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Finding the Third Proportional to 117,843.75 and 256,178.25

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Solution

The third proportional to 117,843.75 and 256,178.25 is: 556,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,843.75 : 256,178.25 = 256,178.25 : x
  2. Step 2: Convert to fraction form
    117,843.75/256,178.25 = 256,178.25/x
  3. Step 3: Cross multiply
    117,843.75x = 256,178.25 × 256,178.25
  4. Step 4: Simplify right side
    117,843.75x = 65,627,295,773.06
  5. Step 5: Solve for x
    x = 65,627,295,773.06/117,843.75
  6. Step 6: Final answer
    x = 556,900.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.