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Finding the Third Proportional to 190,639.69 and 397,069.31

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Solution

The third proportional to 190,639.69 and 397,069.31 is: 827,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,639.69 : 397,069.31 = 397,069.31 : x
  2. Step 2: Convert to fraction form
    190,639.69/397,069.31 = 397,069.31/x
  3. Step 3: Cross multiply
    190,639.69x = 397,069.31 × 397,069.31
  4. Step 4: Simplify right side
    190,639.69x = 157,664,038,929.22
  5. Step 5: Solve for x
    x = 157,664,038,929.22/190,639.69
  6. Step 6: Final answer
    x = 827,026.32

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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.