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Finding the Third Proportional to 189,236 and 223,796

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Solution

The third proportional to 189,236 and 223,796 is: 264,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,236 : 223,796 = 223,796 : x
  2. Step 2: Convert to fraction form
    189,236/223,796 = 223,796/x
  3. Step 3: Cross multiply
    189,236x = 223,796 × 223,796
  4. Step 4: Simplify right side
    189,236x = 50,084,649,616
  5. Step 5: Solve for x
    x = 50,084,649,616/189,236
  6. Step 6: Final answer
    x = 264,667.66

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.