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Finding the Third Proportional to 117,062.88 and 256,179.43

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Solution

The third proportional to 117,062.88 and 256,179.43 is: 560,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,062.88 : 256,179.43 = 256,179.43 : x
  2. Step 2: Convert to fraction form
    117,062.88/256,179.43 = 256,179.43/x
  3. Step 3: Cross multiply
    117,062.88x = 256,179.43 × 256,179.43
  4. Step 4: Simplify right side
    117,062.88x = 65,627,899,194.31
  5. Step 5: Solve for x
    x = 65,627,899,194.31/117,062.88
  6. Step 6: Final answer
    x = 560,620.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.