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Finding the Third Proportional to 268,322 and 363,116

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Solution

The third proportional to 268,322 and 363,116 is: 491,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,322 : 363,116 = 363,116 : x
  2. Step 2: Convert to fraction form
    268,322/363,116 = 363,116/x
  3. Step 3: Cross multiply
    268,322x = 363,116 × 363,116
  4. Step 4: Simplify right side
    268,322x = 131,853,229,456
  5. Step 5: Solve for x
    x = 131,853,229,456/268,322
  6. Step 6: Final answer
    x = 491,399.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.