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Finding the Third Proportional to 148,014.75 and 324,933.38

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Solution

The third proportional to 148,014.75 and 324,933.38 is: 713,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,014.75 : 324,933.38 = 324,933.38 : x
  2. Step 2: Convert to fraction form
    148,014.75/324,933.38 = 324,933.38/x
  3. Step 3: Cross multiply
    148,014.75x = 324,933.38 × 324,933.38
  4. Step 4: Simplify right side
    148,014.75x = 105,581,698,188.89
  5. Step 5: Solve for x
    x = 105,581,698,188.89/148,014.75
  6. Step 6: Final answer
    x = 713,318.76

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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.