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Finding the Third Proportional to 184,854 and 378,449.25

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Solution

The third proportional to 184,854 and 378,449.25 is: 774,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,854 : 378,449.25 = 378,449.25 : x
  2. Step 2: Convert to fraction form
    184,854/378,449.25 = 378,449.25/x
  3. Step 3: Cross multiply
    184,854x = 378,449.25 × 378,449.25
  4. Step 4: Simplify right side
    184,854x = 143,223,834,825.56
  5. Step 5: Solve for x
    x = 143,223,834,825.56/184,854
  6. Step 6: Final answer
    x = 774,794.35

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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.