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Finding the Third Proportional to 184,860 and 378,481.50

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Solution

The third proportional to 184,860 and 378,481.50 is: 774,901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,860 : 378,481.50 = 378,481.50 : x
  2. Step 2: Convert to fraction form
    184,860/378,481.50 = 378,481.50/x
  3. Step 3: Cross multiply
    184,860x = 378,481.50 × 378,481.50
  4. Step 4: Simplify right side
    184,860x = 143,248,245,842.25
  5. Step 5: Solve for x
    x = 143,248,245,842.25/184,860
  6. Step 6: Final answer
    x = 774,901.25

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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.