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Finding the Third Proportional to 190,462.50 and 396,689

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Solution

The third proportional to 190,462.50 and 396,689 is: 826,210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,462.50 : 396,689 = 396,689 : x
  2. Step 2: Convert to fraction form
    190,462.50/396,689 = 396,689/x
  3. Step 3: Cross multiply
    190,462.50x = 396,689 × 396,689
  4. Step 4: Simplify right side
    190,462.50x = 157,362,162,721
  5. Step 5: Solve for x
    x = 157,362,162,721/190,462.50
  6. Step 6: Final answer
    x = 826,210.74

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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.