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Finding the Third Proportional to 181,912.25 and 382,674.75

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Solution

The third proportional to 181,912.25 and 382,674.75 is: 805,003.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,912.25 : 382,674.75 = 382,674.75 : x
  2. Step 2: Convert to fraction form
    181,912.25/382,674.75 = 382,674.75/x
  3. Step 3: Cross multiply
    181,912.25x = 382,674.75 × 382,674.75
  4. Step 4: Simplify right side
    181,912.25x = 146,439,964,287.56
  5. Step 5: Solve for x
    x = 146,439,964,287.56/181,912.25
  6. Step 6: Final answer
    x = 805,003.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.