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Finding the Third Proportional to 184,836.94 and 378,416.81

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Solution

The third proportional to 184,836.94 and 378,416.81 is: 774,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,836.94 : 378,416.81 = 378,416.81 : x
  2. Step 2: Convert to fraction form
    184,836.94/378,416.81 = 378,416.81/x
  3. Step 3: Cross multiply
    184,836.94x = 378,416.81 × 378,416.81
  4. Step 4: Simplify right side
    184,836.94x = 143,199,283,982.66
  5. Step 5: Solve for x
    x = 143,199,283,982.66/184,836.94
  6. Step 6: Final answer
    x = 774,733.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.