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Finding the Third Proportional to 190,999.50 and 397,695.75

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Solution

The third proportional to 190,999.50 and 397,695.75 is: 828,074.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,999.50 : 397,695.75 = 397,695.75 : x
  2. Step 2: Convert to fraction form
    190,999.50/397,695.75 = 397,695.75/x
  3. Step 3: Cross multiply
    190,999.50x = 397,695.75 × 397,695.75
  4. Step 4: Simplify right side
    190,999.50x = 158,161,909,568.06
  5. Step 5: Solve for x
    x = 158,161,909,568.06/190,999.50
  6. Step 6: Final answer
    x = 828,074.99

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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.