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Finding the Third Proportional to 190,786.50 and 414,351

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Solution

The third proportional to 190,786.50 and 414,351 is: 899,889.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,786.50 : 414,351 = 414,351 : x
  2. Step 2: Convert to fraction form
    190,786.50/414,351 = 414,351/x
  3. Step 3: Cross multiply
    190,786.50x = 414,351 × 414,351
  4. Step 4: Simplify right side
    190,786.50x = 171,686,751,201
  5. Step 5: Solve for x
    x = 171,686,751,201/190,786.50
  6. Step 6: Final answer
    x = 899,889.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.