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Finding the Third Proportional to 144,857 and 223,847

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Solution

The third proportional to 144,857 and 223,847 is: 345,909.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,857 : 223,847 = 223,847 : x
  2. Step 2: Convert to fraction form
    144,857/223,847 = 223,847/x
  3. Step 3: Cross multiply
    144,857x = 223,847 × 223,847
  4. Step 4: Simplify right side
    144,857x = 50,107,479,409
  5. Step 5: Solve for x
    x = 50,107,479,409/144,857
  6. Step 6: Final answer
    x = 345,909.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.