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Finding the Third Proportional to 184,954 and 399,044

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Solution

The third proportional to 184,954 and 399,044 is: 860,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,954 : 399,044 = 399,044 : x
  2. Step 2: Convert to fraction form
    184,954/399,044 = 399,044/x
  3. Step 3: Cross multiply
    184,954x = 399,044 × 399,044
  4. Step 4: Simplify right side
    184,954x = 159,236,113,936
  5. Step 5: Solve for x
    x = 159,236,113,936/184,954
  6. Step 6: Final answer
    x = 860,949.83

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Why These Related Problems?

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