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Finding the Third Proportional to 227,675.81 and 339,668.44

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Solution

The third proportional to 227,675.81 and 339,668.44 is: 506,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,675.81 : 339,668.44 = 339,668.44 : x
  2. Step 2: Convert to fraction form
    227,675.81/339,668.44 = 339,668.44/x
  3. Step 3: Cross multiply
    227,675.81x = 339,668.44 × 339,668.44
  4. Step 4: Simplify right side
    227,675.81x = 115,374,647,433.69
  5. Step 5: Solve for x
    x = 115,374,647,433.69/227,675.81
  6. Step 6: Final answer
    x = 506,749.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.