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Finding the Third Proportional to 193,317 and 419,844

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Solution

The third proportional to 193,317 and 419,844 is: 911,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,317 : 419,844 = 419,844 : x
  2. Step 2: Convert to fraction form
    193,317/419,844 = 419,844/x
  3. Step 3: Cross multiply
    193,317x = 419,844 × 419,844
  4. Step 4: Simplify right side
    193,317x = 176,268,984,336
  5. Step 5: Solve for x
    x = 176,268,984,336/193,317
  6. Step 6: Final answer
    x = 911,813.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.