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Finding the Third Proportional to 148,950 and 324,162

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Solution

The third proportional to 148,950 and 324,162 is: 705,478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,950 : 324,162 = 324,162 : x
  2. Step 2: Convert to fraction form
    148,950/324,162 = 324,162/x
  3. Step 3: Cross multiply
    148,950x = 324,162 × 324,162
  4. Step 4: Simplify right side
    148,950x = 105,081,002,244
  5. Step 5: Solve for x
    x = 105,081,002,244/148,950
  6. Step 6: Final answer
    x = 705,478.36

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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.