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Finding the Third Proportional to 181,111 and 393,355

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Solution

The third proportional to 181,111 and 393,355 is: 854,327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,111 : 393,355 = 393,355 : x
  2. Step 2: Convert to fraction form
    181,111/393,355 = 393,355/x
  3. Step 3: Cross multiply
    181,111x = 393,355 × 393,355
  4. Step 4: Simplify right side
    181,111x = 154,728,156,025
  5. Step 5: Solve for x
    x = 154,728,156,025/181,111
  6. Step 6: Final answer
    x = 854,327.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.