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Finding the Third Proportional to 182,103.82 and 269,623.69

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Solution

The third proportional to 182,103.82 and 269,623.69 is: 399,205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,103.82 : 269,623.69 = 269,623.69 : x
  2. Step 2: Convert to fraction form
    182,103.82/269,623.69 = 269,623.69/x
  3. Step 3: Cross multiply
    182,103.82x = 269,623.69 × 269,623.69
  4. Step 4: Simplify right side
    182,103.82x = 72,696,932,861.10
  5. Step 5: Solve for x
    x = 72,696,932,861.10/182,103.82
  6. Step 6: Final answer
    x = 399,205.97

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.