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Finding the Third Proportional to 149,296 and 231,504

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Solution

The third proportional to 149,296 and 231,504 is: 358,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,296 : 231,504 = 231,504 : x
  2. Step 2: Convert to fraction form
    149,296/231,504 = 231,504/x
  3. Step 3: Cross multiply
    149,296x = 231,504 × 231,504
  4. Step 4: Simplify right side
    149,296x = 53,594,102,016
  5. Step 5: Solve for x
    x = 53,594,102,016/149,296
  6. Step 6: Final answer
    x = 358,978.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.