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Finding the Third Proportional to 190,825 and 303,094

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Solution

The third proportional to 190,825 and 303,094 is: 481,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,825 : 303,094 = 303,094 : x
  2. Step 2: Convert to fraction form
    190,825/303,094 = 303,094/x
  3. Step 3: Cross multiply
    190,825x = 303,094 × 303,094
  4. Step 4: Simplify right side
    190,825x = 91,865,972,836
  5. Step 5: Solve for x
    x = 91,865,972,836/190,825
  6. Step 6: Final answer
    x = 481,414.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.