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Finding the Third Proportional to 116,198.25 and 246,347.25

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Solution

The third proportional to 116,198.25 and 246,347.25 is: 522,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,198.25 : 246,347.25 = 246,347.25 : x
  2. Step 2: Convert to fraction form
    116,198.25/246,347.25 = 246,347.25/x
  3. Step 3: Cross multiply
    116,198.25x = 246,347.25 × 246,347.25
  4. Step 4: Simplify right side
    116,198.25x = 60,686,967,582.56
  5. Step 5: Solve for x
    x = 60,686,967,582.56/116,198.25
  6. Step 6: Final answer
    x = 522,270.93

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.