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Finding the Third Proportional to 193,909 and 405,385

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Solution

The third proportional to 193,909 and 405,385 is: 847,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,909 : 405,385 = 405,385 : x
  2. Step 2: Convert to fraction form
    193,909/405,385 = 405,385/x
  3. Step 3: Cross multiply
    193,909x = 405,385 × 405,385
  4. Step 4: Simplify right side
    193,909x = 164,336,998,225
  5. Step 5: Solve for x
    x = 164,336,998,225/193,909
  6. Step 6: Final answer
    x = 847,495.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.