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Finding the Third Proportional to 190,073.25 and 412,998.75

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Solution

The third proportional to 190,073.25 and 412,998.75 is: 897,380.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,073.25 : 412,998.75 = 412,998.75 : x
  2. Step 2: Convert to fraction form
    190,073.25/412,998.75 = 412,998.75/x
  3. Step 3: Cross multiply
    190,073.25x = 412,998.75 × 412,998.75
  4. Step 4: Simplify right side
    190,073.25x = 170,567,967,501.56
  5. Step 5: Solve for x
    x = 170,567,967,501.56/190,073.25
  6. Step 6: Final answer
    x = 897,380.18

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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.