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Finding the Third Proportional to 192,629 and 283,368

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Solution

The third proportional to 192,629 and 283,368 is: 416,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,629 : 283,368 = 283,368 : x
  2. Step 2: Convert to fraction form
    192,629/283,368 = 283,368/x
  3. Step 3: Cross multiply
    192,629x = 283,368 × 283,368
  4. Step 4: Simplify right side
    192,629x = 80,297,423,424
  5. Step 5: Solve for x
    x = 80,297,423,424/192,629
  6. Step 6: Final answer
    x = 416,850.13

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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.