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Finding the Third Proportional to 188,902.13 and 513,261.56

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Solution

The third proportional to 188,902.13 and 513,261.56 is: 1,394,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,902.13 : 513,261.56 = 513,261.56 : x
  2. Step 2: Convert to fraction form
    188,902.13/513,261.56 = 513,261.56/x
  3. Step 3: Cross multiply
    188,902.13x = 513,261.56 × 513,261.56
  4. Step 4: Simplify right side
    188,902.13x = 263,437,431,539.94
  5. Step 5: Solve for x
    x = 263,437,431,539.94/188,902.13
  6. Step 6: Final answer
    x = 1,394,571.03

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.