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Finding the Third Proportional to 183,667.50 and 269,213.63

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Solution

The third proportional to 183,667.50 and 269,213.63 is: 394,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,667.50 : 269,213.63 = 269,213.63 : x
  2. Step 2: Convert to fraction form
    183,667.50/269,213.63 = 269,213.63/x
  3. Step 3: Cross multiply
    183,667.50x = 269,213.63 × 269,213.63
  4. Step 4: Simplify right side
    183,667.50x = 72,475,975,885.64
  5. Step 5: Solve for x
    x = 72,475,975,885.64/183,667.50
  6. Step 6: Final answer
    x = 394,604.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.