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Finding the Third Proportional to 268,313.25 and 363,103.88

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Solution

The third proportional to 268,313.25 and 363,103.88 is: 491,382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,313.25 : 363,103.88 = 363,103.88 : x
  2. Step 2: Convert to fraction form
    268,313.25/363,103.88 = 363,103.88/x
  3. Step 3: Cross multiply
    268,313.25x = 363,103.88 × 363,103.88
  4. Step 4: Simplify right side
    268,313.25x = 131,844,424,040.02
  5. Step 5: Solve for x
    x = 131,844,424,040.02/268,313.25
  6. Step 6: Final answer
    x = 491,382.46

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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.