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Finding the Third Proportional to 163,993 and 353,824

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Solution

The third proportional to 163,993 and 353,824 is: 763,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,993 : 353,824 = 353,824 : x
  2. Step 2: Convert to fraction form
    163,993/353,824 = 353,824/x
  3. Step 3: Cross multiply
    163,993x = 353,824 × 353,824
  4. Step 4: Simplify right side
    163,993x = 125,191,422,976
  5. Step 5: Solve for x
    x = 125,191,422,976/163,993
  6. Step 6: Final answer
    x = 763,394.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.