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Finding the Third Proportional to 197,286 and 426,104

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Solution

The third proportional to 197,286 and 426,104 is: 920,311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,286 : 426,104 = 426,104 : x
  2. Step 2: Convert to fraction form
    197,286/426,104 = 426,104/x
  3. Step 3: Cross multiply
    197,286x = 426,104 × 426,104
  4. Step 4: Simplify right side
    197,286x = 181,564,618,816
  5. Step 5: Solve for x
    x = 181,564,618,816/197,286
  6. Step 6: Final answer
    x = 920,311.72

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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.