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Finding the Third Proportional to 193,653 and 397,998

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Solution

The third proportional to 193,653 and 397,998 is: 817,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,653 : 397,998 = 397,998 : x
  2. Step 2: Convert to fraction form
    193,653/397,998 = 397,998/x
  3. Step 3: Cross multiply
    193,653x = 397,998 × 397,998
  4. Step 4: Simplify right side
    193,653x = 158,402,408,004
  5. Step 5: Solve for x
    x = 158,402,408,004/193,653
  6. Step 6: Final answer
    x = 817,970.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.