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Finding the Third Proportional to 184,200.33 and 276,984.56

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Solution

The third proportional to 184,200.33 and 276,984.56 is: 416,505.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,200.33 : 276,984.56 = 276,984.56 : x
  2. Step 2: Convert to fraction form
    184,200.33/276,984.56 = 276,984.56/x
  3. Step 3: Cross multiply
    184,200.33x = 276,984.56 × 276,984.56
  4. Step 4: Simplify right side
    184,200.33x = 76,720,447,863.32
  5. Step 5: Solve for x
    x = 76,720,447,863.32/184,200.33
  6. Step 6: Final answer
    x = 416,505.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.