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Finding the Third Proportional to 197,311 and 426,150

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Solution

The third proportional to 197,311 and 426,150 is: 920,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,311 : 426,150 = 426,150 : x
  2. Step 2: Convert to fraction form
    197,311/426,150 = 426,150/x
  3. Step 3: Cross multiply
    197,311x = 426,150 × 426,150
  4. Step 4: Simplify right side
    197,311x = 181,603,822,500
  5. Step 5: Solve for x
    x = 181,603,822,500/197,311
  6. Step 6: Final answer
    x = 920,393.81

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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.