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Finding the Third Proportional to 196,048 and 276,080

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Solution

The third proportional to 196,048 and 276,080 is: 388,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,048 : 276,080 = 276,080 : x
  2. Step 2: Convert to fraction form
    196,048/276,080 = 276,080/x
  3. Step 3: Cross multiply
    196,048x = 276,080 × 276,080
  4. Step 4: Simplify right side
    196,048x = 76,220,166,400
  5. Step 5: Solve for x
    x = 76,220,166,400/196,048
  6. Step 6: Final answer
    x = 388,783.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.