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Finding the Third Proportional to 117,960.75 and 256,657.25

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Solution

The third proportional to 117,960.75 and 256,657.25 is: 558,431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,960.75 : 256,657.25 = 256,657.25 : x
  2. Step 2: Convert to fraction form
    117,960.75/256,657.25 = 256,657.25/x
  3. Step 3: Cross multiply
    117,960.75x = 256,657.25 × 256,657.25
  4. Step 4: Simplify right side
    117,960.75x = 65,872,943,977.56
  5. Step 5: Solve for x
    x = 65,872,943,977.56/117,960.75
  6. Step 6: Final answer
    x = 558,431.04

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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.