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Finding the Third Proportional to 193,311 and 283,608

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Solution

The third proportional to 193,311 and 283,608 is: 416,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,311 : 283,608 = 283,608 : x
  2. Step 2: Convert to fraction form
    193,311/283,608 = 283,608/x
  3. Step 3: Cross multiply
    193,311x = 283,608 × 283,608
  4. Step 4: Simplify right side
    193,311x = 80,433,497,664
  5. Step 5: Solve for x
    x = 80,433,497,664/193,311
  6. Step 6: Final answer
    x = 416,083.40

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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.