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Finding the Third Proportional to 117,684 and 256,104

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Solution

The third proportional to 117,684 and 256,104 is: 557,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,684 : 256,104 = 256,104 : x
  2. Step 2: Convert to fraction form
    117,684/256,104 = 256,104/x
  3. Step 3: Cross multiply
    117,684x = 256,104 × 256,104
  4. Step 4: Simplify right side
    117,684x = 65,589,258,816
  5. Step 5: Solve for x
    x = 65,589,258,816/117,684
  6. Step 6: Final answer
    x = 557,333.70

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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.