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Finding the Third Proportional to 148,059 and 324,924.75

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Solution

The third proportional to 148,059 and 324,924.75 is: 713,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,059 : 324,924.75 = 324,924.75 : x
  2. Step 2: Convert to fraction form
    148,059/324,924.75 = 324,924.75/x
  3. Step 3: Cross multiply
    148,059x = 324,924.75 × 324,924.75
  4. Step 4: Simplify right side
    148,059x = 105,576,093,162.56
  5. Step 5: Solve for x
    x = 105,576,093,162.56/148,059
  6. Step 6: Final answer
    x = 713,067.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.