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Finding the Third Proportional to 193,314 and 419,838

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Solution

The third proportional to 193,314 and 419,838 is: 911,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,314 : 419,838 = 419,838 : x
  2. Step 2: Convert to fraction form
    193,314/419,838 = 419,838/x
  3. Step 3: Cross multiply
    193,314x = 419,838 × 419,838
  4. Step 4: Simplify right side
    193,314x = 176,263,946,244
  5. Step 5: Solve for x
    x = 176,263,946,244/193,314
  6. Step 6: Final answer
    x = 911,801.25

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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.