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Finding the Third Proportional to 184,853.81 and 378,450.56

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Solution

The third proportional to 184,853.81 and 378,450.56 is: 774,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,853.81 : 378,450.56 = 378,450.56 : x
  2. Step 2: Convert to fraction form
    184,853.81/378,450.56 = 378,450.56/x
  3. Step 3: Cross multiply
    184,853.81x = 378,450.56 × 378,450.56
  4. Step 4: Simplify right side
    184,853.81x = 143,224,828,256.57
  5. Step 5: Solve for x
    x = 143,224,828,256.57/184,853.81
  6. Step 6: Final answer
    x = 774,800.51

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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.