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Finding the Third Proportional to 184,806 and 399,156

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Solution

The third proportional to 184,806 and 399,156 is: 862,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,806 : 399,156 = 399,156 : x
  2. Step 2: Convert to fraction form
    184,806/399,156 = 399,156/x
  3. Step 3: Cross multiply
    184,806x = 399,156 × 399,156
  4. Step 4: Simplify right side
    184,806x = 159,325,512,336
  5. Step 5: Solve for x
    x = 159,325,512,336/184,806
  6. Step 6: Final answer
    x = 862,123.05

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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.