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Finding the Third Proportional to 226,268.25 and 335,487.75

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Solution

The third proportional to 226,268.25 and 335,487.75 is: 497,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,268.25 : 335,487.75 = 335,487.75 : x
  2. Step 2: Convert to fraction form
    226,268.25/335,487.75 = 335,487.75/x
  3. Step 3: Cross multiply
    226,268.25x = 335,487.75 × 335,487.75
  4. Step 4: Simplify right side
    226,268.25x = 112,552,030,400.06
  5. Step 5: Solve for x
    x = 112,552,030,400.06/226,268.25
  6. Step 6: Final answer
    x = 497,427.41

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.