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Finding the Third Proportional to 148,733 and 326,990

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Solution

The third proportional to 148,733 and 326,990 is: 718,888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,733 : 326,990 = 326,990 : x
  2. Step 2: Convert to fraction form
    148,733/326,990 = 326,990/x
  3. Step 3: Cross multiply
    148,733x = 326,990 × 326,990
  4. Step 4: Simplify right side
    148,733x = 106,922,460,100
  5. Step 5: Solve for x
    x = 106,922,460,100/148,733
  6. Step 6: Final answer
    x = 718,888.61

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