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Finding the Third Proportional to 135,673 and 298,414

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Solution

The third proportional to 135,673 and 298,414 is: 656,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,673 : 298,414 = 298,414 : x
  2. Step 2: Convert to fraction form
    135,673/298,414 = 298,414/x
  3. Step 3: Cross multiply
    135,673x = 298,414 × 298,414
  4. Step 4: Simplify right side
    135,673x = 89,050,915,396
  5. Step 5: Solve for x
    x = 89,050,915,396/135,673
  6. Step 6: Final answer
    x = 656,364.31

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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.