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Finding the Third Proportional to 149,657.63 and 324,744.75

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Solution

The third proportional to 149,657.63 and 324,744.75 is: 704,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,657.63 : 324,744.75 = 324,744.75 : x
  2. Step 2: Convert to fraction form
    149,657.63/324,744.75 = 324,744.75/x
  3. Step 3: Cross multiply
    149,657.63x = 324,744.75 × 324,744.75
  4. Step 4: Simplify right side
    149,657.63x = 105,459,152,652.56
  5. Step 5: Solve for x
    x = 105,459,152,652.56/149,657.63
  6. Step 6: Final answer
    x = 704,669.43

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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.