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Finding the Third Proportional to 190,825.88 and 397,347.75

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Solution

The third proportional to 190,825.88 and 397,347.75 is: 827,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,825.88 : 397,347.75 = 397,347.75 : x
  2. Step 2: Convert to fraction form
    190,825.88/397,347.75 = 397,347.75/x
  3. Step 3: Cross multiply
    190,825.88x = 397,347.75 × 397,347.75
  4. Step 4: Simplify right side
    190,825.88x = 157,885,234,430.06
  5. Step 5: Solve for x
    x = 157,885,234,430.06/190,825.88
  6. Step 6: Final answer
    x = 827,378.54

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