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Finding the Third Proportional to 196,517 and 426,082

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Solution

The third proportional to 196,517 and 426,082 is: 923,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,517 : 426,082 = 426,082 : x
  2. Step 2: Convert to fraction form
    196,517/426,082 = 426,082/x
  3. Step 3: Cross multiply
    196,517x = 426,082 × 426,082
  4. Step 4: Simplify right side
    196,517x = 181,545,870,724
  5. Step 5: Solve for x
    x = 181,545,870,724/196,517
  6. Step 6: Final answer
    x = 923,817.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.