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Finding the Third Proportional to 193,133.25 and 259,890.75

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Solution

The third proportional to 193,133.25 and 259,890.75 is: 349,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,133.25 : 259,890.75 = 259,890.75 : x
  2. Step 2: Convert to fraction form
    193,133.25/259,890.75 = 259,890.75/x
  3. Step 3: Cross multiply
    193,133.25x = 259,890.75 × 259,890.75
  4. Step 4: Simplify right side
    193,133.25x = 67,543,201,935.56
  5. Step 5: Solve for x
    x = 67,543,201,935.56/193,133.25
  6. Step 6: Final answer
    x = 349,723.32

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.