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Finding the Third Proportional to 149,757.19 and 325,752.75

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Solution

The third proportional to 149,757.19 and 325,752.75 is: 708,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,757.19 : 325,752.75 = 325,752.75 : x
  2. Step 2: Convert to fraction form
    149,757.19/325,752.75 = 325,752.75/x
  3. Step 3: Cross multiply
    149,757.19x = 325,752.75 × 325,752.75
  4. Step 4: Simplify right side
    149,757.19x = 106,114,854,132.56
  5. Step 5: Solve for x
    x = 106,114,854,132.56/149,757.19
  6. Step 6: Final answer
    x = 708,579.37

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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.