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Finding the Third Proportional to 149,302 and 324,847

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Solution

The third proportional to 149,302 and 324,847 is: 706,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,302 : 324,847 = 324,847 : x
  2. Step 2: Convert to fraction form
    149,302/324,847 = 324,847/x
  3. Step 3: Cross multiply
    149,302x = 324,847 × 324,847
  4. Step 4: Simplify right side
    149,302x = 105,525,573,409
  5. Step 5: Solve for x
    x = 105,525,573,409/149,302
  6. Step 6: Final answer
    x = 706,792.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.