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Finding the Third Proportional to 135,771 and 298,305

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Solution

The third proportional to 135,771 and 298,305 is: 655,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,771 : 298,305 = 298,305 : x
  2. Step 2: Convert to fraction form
    135,771/298,305 = 298,305/x
  3. Step 3: Cross multiply
    135,771x = 298,305 × 298,305
  4. Step 4: Simplify right side
    135,771x = 88,985,873,025
  5. Step 5: Solve for x
    x = 88,985,873,025/135,771
  6. Step 6: Final answer
    x = 655,411.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.