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Finding the Third Proportional to 193,646 and 416,956

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Solution

The third proportional to 193,646 and 416,956 is: 897,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,646 : 416,956 = 416,956 : x
  2. Step 2: Convert to fraction form
    193,646/416,956 = 416,956/x
  3. Step 3: Cross multiply
    193,646x = 416,956 × 416,956
  4. Step 4: Simplify right side
    193,646x = 173,852,305,936
  5. Step 5: Solve for x
    x = 173,852,305,936/193,646
  6. Step 6: Final answer
    x = 897,784.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.