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Finding the Third Proportional to 163,825.50 and 246,279

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Solution

The third proportional to 163,825.50 and 246,279 is: 370,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,825.50 : 246,279 = 246,279 : x
  2. Step 2: Convert to fraction form
    163,825.50/246,279 = 246,279/x
  3. Step 3: Cross multiply
    163,825.50x = 246,279 × 246,279
  4. Step 4: Simplify right side
    163,825.50x = 60,653,345,841
  5. Step 5: Solve for x
    x = 60,653,345,841/163,825.50
  6. Step 6: Final answer
    x = 370,231.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.