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Finding the Third Proportional to 194,629.50 and 248,679

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Solution

The third proportional to 194,629.50 and 248,679 is: 317,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,629.50 : 248,679 = 248,679 : x
  2. Step 2: Convert to fraction form
    194,629.50/248,679 = 248,679/x
  3. Step 3: Cross multiply
    194,629.50x = 248,679 × 248,679
  4. Step 4: Simplify right side
    194,629.50x = 61,841,245,041
  5. Step 5: Solve for x
    x = 61,841,245,041/194,629.50
  6. Step 6: Final answer
    x = 317,738.29

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.