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Finding the Third Proportional to 227,686.50 and 339,683.63

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Solution

The third proportional to 227,686.50 and 339,683.63 is: 506,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,686.50 : 339,683.63 = 339,683.63 : x
  2. Step 2: Convert to fraction form
    227,686.50/339,683.63 = 339,683.63/x
  3. Step 3: Cross multiply
    227,686.50x = 339,683.63 × 339,683.63
  4. Step 4: Simplify right side
    227,686.50x = 115,384,965,093.14
  5. Step 5: Solve for x
    x = 115,384,965,093.14/227,686.50
  6. Step 6: Final answer
    x = 506,771.22

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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.