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Finding the Third Proportional to 203,982.75 and 286,743.38

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Solution

The third proportional to 203,982.75 and 286,743.38 is: 403,081.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,982.75 : 286,743.38 = 286,743.38 : x
  2. Step 2: Convert to fraction form
    203,982.75/286,743.38 = 286,743.38/x
  3. Step 3: Cross multiply
    203,982.75x = 286,743.38 × 286,743.38
  4. Step 4: Simplify right side
    203,982.75x = 82,221,763,106.39
  5. Step 5: Solve for x
    x = 82,221,763,106.39/203,982.75
  6. Step 6: Final answer
    x = 403,081.94

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.