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Finding the Third Proportional to 149,709 and 324,846.75

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Solution

The third proportional to 149,709 and 324,846.75 is: 704,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,709 : 324,846.75 = 324,846.75 : x
  2. Step 2: Convert to fraction form
    149,709/324,846.75 = 324,846.75/x
  3. Step 3: Cross multiply
    149,709x = 324,846.75 × 324,846.75
  4. Step 4: Simplify right side
    149,709x = 105,525,410,985.56
  5. Step 5: Solve for x
    x = 105,525,410,985.56/149,709
  6. Step 6: Final answer
    x = 704,870.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.