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Finding the Third Proportional to 250,323.75 and 397,993.50

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Solution

The third proportional to 250,323.75 and 397,993.50 is: 632,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,323.75 : 397,993.50 = 397,993.50 : x
  2. Step 2: Convert to fraction form
    250,323.75/397,993.50 = 397,993.50/x
  3. Step 3: Cross multiply
    250,323.75x = 397,993.50 × 397,993.50
  4. Step 4: Simplify right side
    250,323.75x = 158,398,826,042.25
  5. Step 5: Solve for x
    x = 158,398,826,042.25/250,323.75
  6. Step 6: Final answer
    x = 632,775.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.