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Finding the Third Proportional to 148,716 and 324,222.75

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Solution

The third proportional to 148,716 and 324,222.75 is: 706,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,716 : 324,222.75 = 324,222.75 : x
  2. Step 2: Convert to fraction form
    148,716/324,222.75 = 324,222.75/x
  3. Step 3: Cross multiply
    148,716x = 324,222.75 × 324,222.75
  4. Step 4: Simplify right side
    148,716x = 105,120,391,617.56
  5. Step 5: Solve for x
    x = 105,120,391,617.56/148,716
  6. Step 6: Final answer
    x = 706,853.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.