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Finding the Third Proportional to 193,908.30 and 300,947.43

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Solution

The third proportional to 193,908.30 and 300,947.43 is: 467,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,908.30 : 300,947.43 = 300,947.43 : x
  2. Step 2: Convert to fraction form
    193,908.30/300,947.43 = 300,947.43/x
  3. Step 3: Cross multiply
    193,908.30x = 300,947.43 × 300,947.43
  4. Step 4: Simplify right side
    193,908.30x = 90,569,356,611.09
  5. Step 5: Solve for x
    x = 90,569,356,611.09/193,908.30
  6. Step 6: Final answer
    x = 467,073.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.