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Finding the Third Proportional to 196,546 and 311,722

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Solution

The third proportional to 196,546 and 311,722 is: 494,391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,546 : 311,722 = 311,722 : x
  2. Step 2: Convert to fraction form
    196,546/311,722 = 311,722/x
  3. Step 3: Cross multiply
    196,546x = 311,722 × 311,722
  4. Step 4: Simplify right side
    196,546x = 97,170,605,284
  5. Step 5: Solve for x
    x = 97,170,605,284/196,546
  6. Step 6: Final answer
    x = 494,391.16

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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.