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Finding the Third Proportional to 197,301.94 and 426,131.44

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Solution

The third proportional to 197,301.94 and 426,131.44 is: 920,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,301.94 : 426,131.44 = 426,131.44 : x
  2. Step 2: Convert to fraction form
    197,301.94/426,131.44 = 426,131.44/x
  3. Step 3: Cross multiply
    197,301.94x = 426,131.44 × 426,131.44
  4. Step 4: Simplify right side
    197,301.94x = 181,588,002,025.82
  5. Step 5: Solve for x
    x = 181,588,002,025.82/197,301.94
  6. Step 6: Final answer
    x = 920,355.90

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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.