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Finding the Third Proportional to 149,286 and 227,817

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Solution

The third proportional to 149,286 and 227,817 is: 347,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,286 : 227,817 = 227,817 : x
  2. Step 2: Convert to fraction form
    149,286/227,817 = 227,817/x
  3. Step 3: Cross multiply
    149,286x = 227,817 × 227,817
  4. Step 4: Simplify right side
    149,286x = 51,900,585,489
  5. Step 5: Solve for x
    x = 51,900,585,489/149,286
  6. Step 6: Final answer
    x = 347,658.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.