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Finding the Third Proportional to 184,262 and 399,626

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Solution

The third proportional to 184,262 and 399,626 is: 866,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,262 : 399,626 = 399,626 : x
  2. Step 2: Convert to fraction form
    184,262/399,626 = 399,626/x
  3. Step 3: Cross multiply
    184,262x = 399,626 × 399,626
  4. Step 4: Simplify right side
    184,262x = 159,700,939,876
  5. Step 5: Solve for x
    x = 159,700,939,876/184,262
  6. Step 6: Final answer
    x = 866,705.78

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Why These Related Problems?

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