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Finding the Third Proportional to 148,745.53 and 327,015.56

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Solution

The third proportional to 148,745.53 and 327,015.56 is: 718,940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,745.53 : 327,015.56 = 327,015.56 : x
  2. Step 2: Convert to fraction form
    148,745.53/327,015.56 = 327,015.56/x
  3. Step 3: Cross multiply
    148,745.53x = 327,015.56 × 327,015.56
  4. Step 4: Simplify right side
    148,745.53x = 106,939,178,117.19
  5. Step 5: Solve for x
    x = 106,939,178,117.19/148,745.53
  6. Step 6: Final answer
    x = 718,940.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.