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Finding the Third Proportional to 196,786 and 426,188

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Solution

The third proportional to 196,786 and 426,188 is: 923,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,786 : 426,188 = 426,188 : x
  2. Step 2: Convert to fraction form
    196,786/426,188 = 426,188/x
  3. Step 3: Cross multiply
    196,786x = 426,188 × 426,188
  4. Step 4: Simplify right side
    196,786x = 181,636,211,344
  5. Step 5: Solve for x
    x = 181,636,211,344/196,786
  6. Step 6: Final answer
    x = 923,013.89

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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.