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Finding the Third Proportional to 184,816 and 399,134

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Solution

The third proportional to 184,816 and 399,134 is: 861,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,816 : 399,134 = 399,134 : x
  2. Step 2: Convert to fraction form
    184,816/399,134 = 399,134/x
  3. Step 3: Cross multiply
    184,816x = 399,134 × 399,134
  4. Step 4: Simplify right side
    184,816x = 159,307,949,956
  5. Step 5: Solve for x
    x = 159,307,949,956/184,816
  6. Step 6: Final answer
    x = 861,981.38

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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.