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Finding the Third Proportional to 203,968.69 and 286,725.66

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Solution

The third proportional to 203,968.69 and 286,725.66 is: 403,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,968.69 : 286,725.66 = 286,725.66 : x
  2. Step 2: Convert to fraction form
    203,968.69/286,725.66 = 286,725.66/x
  3. Step 3: Cross multiply
    203,968.69x = 286,725.66 × 286,725.66
  4. Step 4: Simplify right side
    203,968.69x = 82,211,601,951.99
  5. Step 5: Solve for x
    x = 82,211,601,951.99/203,968.69
  6. Step 6: Final answer
    x = 403,059.92

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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.