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Finding the Third Proportional to 201,633.75 and 274,002.75

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Solution

The third proportional to 201,633.75 and 274,002.75 is: 372,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,633.75 : 274,002.75 = 274,002.75 : x
  2. Step 2: Convert to fraction form
    201,633.75/274,002.75 = 274,002.75/x
  3. Step 3: Cross multiply
    201,633.75x = 274,002.75 × 274,002.75
  4. Step 4: Simplify right side
    201,633.75x = 75,077,507,007.56
  5. Step 5: Solve for x
    x = 75,077,507,007.56/201,633.75
  6. Step 6: Final answer
    x = 372,345.93

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.