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Finding the Third Proportional to 193,906 and 405,379

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Solution

The third proportional to 193,906 and 405,379 is: 847,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,906 : 405,379 = 405,379 : x
  2. Step 2: Convert to fraction form
    193,906/405,379 = 405,379/x
  3. Step 3: Cross multiply
    193,906x = 405,379 × 405,379
  4. Step 4: Simplify right side
    193,906x = 164,332,133,641
  5. Step 5: Solve for x
    x = 164,332,133,641/193,906
  6. Step 6: Final answer
    x = 847,483.49

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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.