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Finding the Third Proportional to 116,857 and 255,827

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Solution

The third proportional to 116,857 and 255,827 is: 560,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,857 : 255,827 = 255,827 : x
  2. Step 2: Convert to fraction form
    116,857/255,827 = 255,827/x
  3. Step 3: Cross multiply
    116,857x = 255,827 × 255,827
  4. Step 4: Simplify right side
    116,857x = 65,447,453,929
  5. Step 5: Solve for x
    x = 65,447,453,929/116,857
  6. Step 6: Final answer
    x = 560,064.47

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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.