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Finding the Third Proportional to 184,732 and 397,715

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Solution

The third proportional to 184,732 and 397,715 is: 856,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,732 : 397,715 = 397,715 : x
  2. Step 2: Convert to fraction form
    184,732/397,715 = 397,715/x
  3. Step 3: Cross multiply
    184,732x = 397,715 × 397,715
  4. Step 4: Simplify right side
    184,732x = 158,177,221,225
  5. Step 5: Solve for x
    x = 158,177,221,225/184,732
  6. Step 6: Final answer
    x = 856,252.42

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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.