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Finding the Third Proportional to 203,781.38 and 446,928.75

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Solution

The third proportional to 203,781.38 and 446,928.75 is: 980,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,781.38 : 446,928.75 = 446,928.75 : x
  2. Step 2: Convert to fraction form
    203,781.38/446,928.75 = 446,928.75/x
  3. Step 3: Cross multiply
    203,781.38x = 446,928.75 × 446,928.75
  4. Step 4: Simplify right side
    203,781.38x = 199,745,307,576.56
  5. Step 5: Solve for x
    x = 199,745,307,576.56/203,781.38
  6. Step 6: Final answer
    x = 980,194.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.