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Finding the Third Proportional to 190,770 and 303,667.50

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Solution

The third proportional to 190,770 and 303,667.50 is: 483,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,770 : 303,667.50 = 303,667.50 : x
  2. Step 2: Convert to fraction form
    190,770/303,667.50 = 303,667.50/x
  3. Step 3: Cross multiply
    190,770x = 303,667.50 × 303,667.50
  4. Step 4: Simplify right side
    190,770x = 92,213,950,556.25
  5. Step 5: Solve for x
    x = 92,213,950,556.25/190,770
  6. Step 6: Final answer
    x = 483,377.63

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