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Finding the Third Proportional to 184,376.25 and 278,250.19

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Solution

The third proportional to 184,376.25 and 278,250.19 is: 419,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,376.25 : 278,250.19 = 278,250.19 : x
  2. Step 2: Convert to fraction form
    184,376.25/278,250.19 = 278,250.19/x
  3. Step 3: Cross multiply
    184,376.25x = 278,250.19 × 278,250.19
  4. Step 4: Simplify right side
    184,376.25x = 77,423,166,843.79
  5. Step 5: Solve for x
    x = 77,423,166,843.79/184,376.25
  6. Step 6: Final answer
    x = 419,919.41

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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.