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Finding the Third Proportional to 151,842.75 and 324,708.75

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Solution

The third proportional to 151,842.75 and 324,708.75 is: 694,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,842.75 : 324,708.75 = 324,708.75 : x
  2. Step 2: Convert to fraction form
    151,842.75/324,708.75 = 324,708.75/x
  3. Step 3: Cross multiply
    151,842.75x = 324,708.75 × 324,708.75
  4. Step 4: Simplify right side
    151,842.75x = 105,435,772,326.56
  5. Step 5: Solve for x
    x = 105,435,772,326.56/151,842.75
  6. Step 6: Final answer
    x = 694,374.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.