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Finding the Third Proportional to 184,906 and 399,276

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Solution

The third proportional to 184,906 and 399,276 is: 862,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,906 : 399,276 = 399,276 : x
  2. Step 2: Convert to fraction form
    184,906/399,276 = 399,276/x
  3. Step 3: Cross multiply
    184,906x = 399,276 × 399,276
  4. Step 4: Simplify right side
    184,906x = 159,421,324,176
  5. Step 5: Solve for x
    x = 159,421,324,176/184,906
  6. Step 6: Final answer
    x = 862,174.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.