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Finding the Third Proportional to 183,951 and 396,924.75

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Solution

The third proportional to 183,951 and 396,924.75 is: 856,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,951 : 396,924.75 = 396,924.75 : x
  2. Step 2: Convert to fraction form
    183,951/396,924.75 = 396,924.75/x
  3. Step 3: Cross multiply
    183,951x = 396,924.75 × 396,924.75
  4. Step 4: Simplify right side
    183,951x = 157,549,257,162.56
  5. Step 5: Solve for x
    x = 157,549,257,162.56/183,951
  6. Step 6: Final answer
    x = 856,474.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.