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Finding the Third Proportional to 184,706 and 397,664

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Solution

The third proportional to 184,706 and 397,664 is: 856,153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,706 : 397,664 = 397,664 : x
  2. Step 2: Convert to fraction form
    184,706/397,664 = 397,664/x
  3. Step 3: Cross multiply
    184,706x = 397,664 × 397,664
  4. Step 4: Simplify right side
    184,706x = 158,136,656,896
  5. Step 5: Solve for x
    x = 158,136,656,896/184,706
  6. Step 6: Final answer
    x = 856,153.33

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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.