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Finding the Third Proportional to 181,212.94 and 377,147.25

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Solution

The third proportional to 181,212.94 and 377,147.25 is: 784,933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,212.94 : 377,147.25 = 377,147.25 : x
  2. Step 2: Convert to fraction form
    181,212.94/377,147.25 = 377,147.25/x
  3. Step 3: Cross multiply
    181,212.94x = 377,147.25 × 377,147.25
  4. Step 4: Simplify right side
    181,212.94x = 142,240,048,182.56
  5. Step 5: Solve for x
    x = 142,240,048,182.56/181,212.94
  6. Step 6: Final answer
    x = 784,933.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.