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Finding the Third Proportional to 170,595 and 396,583.50

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Solution

The third proportional to 170,595 and 396,583.50 is: 921,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,595 : 396,583.50 = 396,583.50 : x
  2. Step 2: Convert to fraction form
    170,595/396,583.50 = 396,583.50/x
  3. Step 3: Cross multiply
    170,595x = 396,583.50 × 396,583.50
  4. Step 4: Simplify right side
    170,595x = 157,278,472,472.25
  5. Step 5: Solve for x
    x = 157,278,472,472.25/170,595
  6. Step 6: Final answer
    x = 921,940.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.