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Finding the Third Proportional to 184,593.94 and 381,998.53

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Solution

The third proportional to 184,593.94 and 381,998.53 is: 790,507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,593.94 : 381,998.53 = 381,998.53 : x
  2. Step 2: Convert to fraction form
    184,593.94/381,998.53 = 381,998.53/x
  3. Step 3: Cross multiply
    184,593.94x = 381,998.53 × 381,998.53
  4. Step 4: Simplify right side
    184,593.94x = 145,922,877,877.16
  5. Step 5: Solve for x
    x = 145,922,877,877.16/184,593.94
  6. Step 6: Final answer
    x = 790,507.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.