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Finding the Third Proportional to 181,035 and 397,912.50

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Solution

The third proportional to 181,035 and 397,912.50 is: 874,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,035 : 397,912.50 = 397,912.50 : x
  2. Step 2: Convert to fraction form
    181,035/397,912.50 = 397,912.50/x
  3. Step 3: Cross multiply
    181,035x = 397,912.50 × 397,912.50
  4. Step 4: Simplify right side
    181,035x = 158,334,357,656.25
  5. Step 5: Solve for x
    x = 158,334,357,656.25/181,035
  6. Step 6: Final answer
    x = 874,606.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.