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Finding the Third Proportional to 193,420 and 303,738

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Solution

The third proportional to 193,420 and 303,738 is: 476,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,420 : 303,738 = 303,738 : x
  2. Step 2: Convert to fraction form
    193,420/303,738 = 303,738/x
  3. Step 3: Cross multiply
    193,420x = 303,738 × 303,738
  4. Step 4: Simplify right side
    193,420x = 92,256,772,644
  5. Step 5: Solve for x
    x = 92,256,772,644/193,420
  6. Step 6: Final answer
    x = 476,976.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.