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Finding the Third Proportional to 184,934.25 and 278,464.50

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Solution

The third proportional to 184,934.25 and 278,464.50 is: 419,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,934.25 : 278,464.50 = 278,464.50 : x
  2. Step 2: Convert to fraction form
    184,934.25/278,464.50 = 278,464.50/x
  3. Step 3: Cross multiply
    184,934.25x = 278,464.50 × 278,464.50
  4. Step 4: Simplify right side
    184,934.25x = 77,542,477,760.25
  5. Step 5: Solve for x
    x = 77,542,477,760.25/184,934.25
  6. Step 6: Final answer
    x = 419,297.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.