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Finding the Third Proportional to 196,576 and 311,760

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Solution

The third proportional to 196,576 and 311,760 is: 494,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,576 : 311,760 = 311,760 : x
  2. Step 2: Convert to fraction form
    196,576/311,760 = 311,760/x
  3. Step 3: Cross multiply
    196,576x = 311,760 × 311,760
  4. Step 4: Simplify right side
    196,576x = 97,194,297,600
  5. Step 5: Solve for x
    x = 97,194,297,600/196,576
  6. Step 6: Final answer
    x = 494,436.24

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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.