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Finding the Third Proportional to 193,497.75 and 291,381.75

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Solution

The third proportional to 193,497.75 and 291,381.75 is: 438,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,497.75 : 291,381.75 = 291,381.75 : x
  2. Step 2: Convert to fraction form
    193,497.75/291,381.75 = 291,381.75/x
  3. Step 3: Cross multiply
    193,497.75x = 291,381.75 × 291,381.75
  4. Step 4: Simplify right side
    193,497.75x = 84,903,324,233.06
  5. Step 5: Solve for x
    x = 84,903,324,233.06/193,497.75
  6. Step 6: Final answer
    x = 438,781.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.