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Finding the Third Proportional to 147,990 and 231,906

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Solution

The third proportional to 147,990 and 231,906 is: 363,405.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,990 : 231,906 = 231,906 : x
  2. Step 2: Convert to fraction form
    147,990/231,906 = 231,906/x
  3. Step 3: Cross multiply
    147,990x = 231,906 × 231,906
  4. Step 4: Simplify right side
    147,990x = 53,780,392,836
  5. Step 5: Solve for x
    x = 53,780,392,836/147,990
  6. Step 6: Final answer
    x = 363,405.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.