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Finding the Third Proportional to 190,989.56 and 404,745.75

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Solution

The third proportional to 190,989.56 and 404,745.75 is: 857,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,989.56 : 404,745.75 = 404,745.75 : x
  2. Step 2: Convert to fraction form
    190,989.56/404,745.75 = 404,745.75/x
  3. Step 3: Cross multiply
    190,989.56x = 404,745.75 × 404,745.75
  4. Step 4: Simplify right side
    190,989.56x = 163,819,122,143.06
  5. Step 5: Solve for x
    x = 163,819,122,143.06/190,989.56
  6. Step 6: Final answer
    x = 857,738.61

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Why These Related Problems?

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