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Finding the Third Proportional to 115,257.94 and 236,226.38

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Solution

The third proportional to 115,257.94 and 236,226.38 is: 484,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,257.94 : 236,226.38 = 236,226.38 : x
  2. Step 2: Convert to fraction form
    115,257.94/236,226.38 = 236,226.38/x
  3. Step 3: Cross multiply
    115,257.94x = 236,226.38 × 236,226.38
  4. Step 4: Simplify right side
    115,257.94x = 55,802,900,245.64
  5. Step 5: Solve for x
    x = 55,802,900,245.64/115,257.94
  6. Step 6: Final answer
    x = 484,156.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.