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Finding the Third Proportional to 215,850.38 and 326,786.06

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Solution

The third proportional to 215,850.38 and 326,786.06 is: 494,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,850.38 : 326,786.06 = 326,786.06 : x
  2. Step 2: Convert to fraction form
    215,850.38/326,786.06 = 326,786.06/x
  3. Step 3: Cross multiply
    215,850.38x = 326,786.06 × 326,786.06
  4. Step 4: Simplify right side
    215,850.38x = 106,789,130,644.25
  5. Step 5: Solve for x
    x = 106,789,130,644.25/215,850.38
  6. Step 6: Final answer
    x = 494,736.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.