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Finding the Third Proportional to 184,401.75 and 284,791.50

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Solution

The third proportional to 184,401.75 and 284,791.50 is: 439,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,401.75 : 284,791.50 = 284,791.50 : x
  2. Step 2: Convert to fraction form
    184,401.75/284,791.50 = 284,791.50/x
  3. Step 3: Cross multiply
    184,401.75x = 284,791.50 × 284,791.50
  4. Step 4: Simplify right side
    184,401.75x = 81,106,198,472.25
  5. Step 5: Solve for x
    x = 81,106,198,472.25/184,401.75
  6. Step 6: Final answer
    x = 439,834.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.