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Finding the Third Proportional to 184,731 and 399,825

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Solution

The third proportional to 184,731 and 399,825 is: 865,366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,731 : 399,825 = 399,825 : x
  2. Step 2: Convert to fraction form
    184,731/399,825 = 399,825/x
  3. Step 3: Cross multiply
    184,731x = 399,825 × 399,825
  4. Step 4: Simplify right side
    184,731x = 159,860,030,625
  5. Step 5: Solve for x
    x = 159,860,030,625/184,731
  6. Step 6: Final answer
    x = 865,366.56

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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.