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Finding the Third Proportional to 193,167 and 283,965

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Solution

The third proportional to 193,167 and 283,965 is: 417,442.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,167 : 283,965 = 283,965 : x
  2. Step 2: Convert to fraction form
    193,167/283,965 = 283,965/x
  3. Step 3: Cross multiply
    193,167x = 283,965 × 283,965
  4. Step 4: Simplify right side
    193,167x = 80,636,121,225
  5. Step 5: Solve for x
    x = 80,636,121,225/193,167
  6. Step 6: Final answer
    x = 417,442.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.