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Finding the Third Proportional to 116,419 and 223,847

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Solution

The third proportional to 116,419 and 223,847 is: 430,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,419 : 223,847 = 223,847 : x
  2. Step 2: Convert to fraction form
    116,419/223,847 = 223,847/x
  3. Step 3: Cross multiply
    116,419x = 223,847 × 223,847
  4. Step 4: Simplify right side
    116,419x = 50,107,479,409
  5. Step 5: Solve for x
    x = 50,107,479,409/116,419
  6. Step 6: Final answer
    x = 430,406.37

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.