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Finding the Third Proportional to 190,206 and 303,302

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Solution

The third proportional to 190,206 and 303,302 is: 483,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,206 : 303,302 = 303,302 : x
  2. Step 2: Convert to fraction form
    190,206/303,302 = 303,302/x
  3. Step 3: Cross multiply
    190,206x = 303,302 × 303,302
  4. Step 4: Simplify right side
    190,206x = 91,992,103,204
  5. Step 5: Solve for x
    x = 91,992,103,204/190,206
  6. Step 6: Final answer
    x = 483,644.59

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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.