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Finding the Third Proportional to 197,771 and 426,341

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Solution

The third proportional to 197,771 and 426,341 is: 919,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,771 : 426,341 = 426,341 : x
  2. Step 2: Convert to fraction form
    197,771/426,341 = 426,341/x
  3. Step 3: Cross multiply
    197,771x = 426,341 × 426,341
  4. Step 4: Simplify right side
    197,771x = 181,766,648,281
  5. Step 5: Solve for x
    x = 181,766,648,281/197,771
  6. Step 6: Final answer
    x = 919,076.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.