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Finding the Third Proportional to 233,286.75 and 337,191.75

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Solution

The third proportional to 233,286.75 and 337,191.75 is: 487,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,286.75 : 337,191.75 = 337,191.75 : x
  2. Step 2: Convert to fraction form
    233,286.75/337,191.75 = 337,191.75/x
  3. Step 3: Cross multiply
    233,286.75x = 337,191.75 × 337,191.75
  4. Step 4: Simplify right side
    233,286.75x = 113,698,276,268.06
  5. Step 5: Solve for x
    x = 113,698,276,268.06/233,286.75
  6. Step 6: Final answer
    x = 487,375.63

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.