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Finding the Third Proportional to 203,573 and 434,197

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Solution

The third proportional to 203,573 and 434,197 is: 926,090.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,573 : 434,197 = 434,197 : x
  2. Step 2: Convert to fraction form
    203,573/434,197 = 434,197/x
  3. Step 3: Cross multiply
    203,573x = 434,197 × 434,197
  4. Step 4: Simplify right side
    203,573x = 188,527,034,809
  5. Step 5: Solve for x
    x = 188,527,034,809/203,573
  6. Step 6: Final answer
    x = 926,090.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.