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Finding the Third Proportional to 190,769 and 303,667

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Solution

The third proportional to 190,769 and 303,667 is: 483,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,769 : 303,667 = 303,667 : x
  2. Step 2: Convert to fraction form
    190,769/303,667 = 303,667/x
  3. Step 3: Cross multiply
    190,769x = 303,667 × 303,667
  4. Step 4: Simplify right side
    190,769x = 92,213,646,889
  5. Step 5: Solve for x
    x = 92,213,646,889/190,769
  6. Step 6: Final answer
    x = 483,378.57

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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.