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Finding the Third Proportional to 338,137.50 and 539,193

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Solution

The third proportional to 338,137.50 and 539,193 is: 859,795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,137.50 : 539,193 = 539,193 : x
  2. Step 2: Convert to fraction form
    338,137.50/539,193 = 539,193/x
  3. Step 3: Cross multiply
    338,137.50x = 539,193 × 539,193
  4. Step 4: Simplify right side
    338,137.50x = 290,729,091,249
  5. Step 5: Solve for x
    x = 290,729,091,249/338,137.50
  6. Step 6: Final answer
    x = 859,795.47

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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.