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Finding the Third Proportional to 184,731 and 399,823

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Solution

The third proportional to 184,731 and 399,823 is: 865,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,731 : 399,823 = 399,823 : x
  2. Step 2: Convert to fraction form
    184,731/399,823 = 399,823/x
  3. Step 3: Cross multiply
    184,731x = 399,823 × 399,823
  4. Step 4: Simplify right side
    184,731x = 159,858,431,329
  5. Step 5: Solve for x
    x = 159,858,431,329/184,731
  6. Step 6: Final answer
    x = 865,357.91

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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.