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Finding the Third Proportional to 116,463 and 259,173

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Solution

The third proportional to 116,463 and 259,173 is: 576,755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,463 : 259,173 = 259,173 : x
  2. Step 2: Convert to fraction form
    116,463/259,173 = 259,173/x
  3. Step 3: Cross multiply
    116,463x = 259,173 × 259,173
  4. Step 4: Simplify right side
    116,463x = 67,170,643,929
  5. Step 5: Solve for x
    x = 67,170,643,929/116,463
  6. Step 6: Final answer
    x = 576,755.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.