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Finding the Third Proportional to 193,197 and 419,663

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Solution

The third proportional to 193,197 and 419,663 is: 911,593.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,197 : 419,663 = 419,663 : x
  2. Step 2: Convert to fraction form
    193,197/419,663 = 419,663/x
  3. Step 3: Cross multiply
    193,197x = 419,663 × 419,663
  4. Step 4: Simplify right side
    193,197x = 176,117,033,569
  5. Step 5: Solve for x
    x = 176,117,033,569/193,197
  6. Step 6: Final answer
    x = 911,593.00

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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.