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Finding the Third Proportional to 139,530 and 298,740

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Solution

The third proportional to 139,530 and 298,740 is: 639,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,530 : 298,740 = 298,740 : x
  2. Step 2: Convert to fraction form
    139,530/298,740 = 298,740/x
  3. Step 3: Cross multiply
    139,530x = 298,740 × 298,740
  4. Step 4: Simplify right side
    139,530x = 89,245,587,600
  5. Step 5: Solve for x
    x = 89,245,587,600/139,530
  6. Step 6: Final answer
    x = 639,615.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.