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Finding the Third Proportional to 184,746 and 397,120

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Solution

The third proportional to 184,746 and 397,120 is: 853,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,746 : 397,120 = 397,120 : x
  2. Step 2: Convert to fraction form
    184,746/397,120 = 397,120/x
  3. Step 3: Cross multiply
    184,746x = 397,120 × 397,120
  4. Step 4: Simplify right side
    184,746x = 157,704,294,400
  5. Step 5: Solve for x
    x = 157,704,294,400/184,746
  6. Step 6: Final answer
    x = 853,627.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.