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Finding the Third Proportional to 190,462.75 and 396,689.25

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Solution

The third proportional to 190,462.75 and 396,689.25 is: 826,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,462.75 : 396,689.25 = 396,689.25 : x
  2. Step 2: Convert to fraction form
    190,462.75/396,689.25 = 396,689.25/x
  3. Step 3: Cross multiply
    190,462.75x = 396,689.25 × 396,689.25
  4. Step 4: Simplify right side
    190,462.75x = 157,362,361,065.56
  5. Step 5: Solve for x
    x = 157,362,361,065.56/190,462.75
  6. Step 6: Final answer
    x = 826,210.70

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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.