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Finding the Third Proportional to 194,435 and 426,245

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Solution

The third proportional to 194,435 and 426,245 is: 934,424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,435 : 426,245 = 426,245 : x
  2. Step 2: Convert to fraction form
    194,435/426,245 = 426,245/x
  3. Step 3: Cross multiply
    194,435x = 426,245 × 426,245
  4. Step 4: Simplify right side
    194,435x = 181,684,800,025
  5. Step 5: Solve for x
    x = 181,684,800,025/194,435
  6. Step 6: Final answer
    x = 934,424.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.