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Finding the Third Proportional to 196,016.63 and 276,041.25

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Solution

The third proportional to 196,016.63 and 276,041.25 is: 388,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,016.63 : 276,041.25 = 276,041.25 : x
  2. Step 2: Convert to fraction form
    196,016.63/276,041.25 = 276,041.25/x
  3. Step 3: Cross multiply
    196,016.63x = 276,041.25 × 276,041.25
  4. Step 4: Simplify right side
    196,016.63x = 76,198,771,701.56
  5. Step 5: Solve for x
    x = 76,198,771,701.56/196,016.63
  6. Step 6: Final answer
    x = 388,736.27

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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.