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Finding the Third Proportional to 184,812 and 399,126

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Solution

The third proportional to 184,812 and 399,126 is: 861,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,812 : 399,126 = 399,126 : x
  2. Step 2: Convert to fraction form
    184,812/399,126 = 399,126/x
  3. Step 3: Cross multiply
    184,812x = 399,126 × 399,126
  4. Step 4: Simplify right side
    184,812x = 159,301,563,876
  5. Step 5: Solve for x
    x = 159,301,563,876/184,812
  6. Step 6: Final answer
    x = 861,965.48

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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.