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Finding the Third Proportional to 192,151 and 306,965

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Solution

The third proportional to 192,151 and 306,965 is: 490,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,151 : 306,965 = 306,965 : x
  2. Step 2: Convert to fraction form
    192,151/306,965 = 306,965/x
  3. Step 3: Cross multiply
    192,151x = 306,965 × 306,965
  4. Step 4: Simplify right side
    192,151x = 94,227,511,225
  5. Step 5: Solve for x
    x = 94,227,511,225/192,151
  6. Step 6: Final answer
    x = 490,382.62

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.