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Finding the Third Proportional to 193,896 and 405,360

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Solution

The third proportional to 193,896 and 405,360 is: 847,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,896 : 405,360 = 405,360 : x
  2. Step 2: Convert to fraction form
    193,896/405,360 = 405,360/x
  3. Step 3: Cross multiply
    193,896x = 405,360 × 405,360
  4. Step 4: Simplify right side
    193,896x = 164,316,729,600
  5. Step 5: Solve for x
    x = 164,316,729,600/193,896
  6. Step 6: Final answer
    x = 847,447.75

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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.