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Finding the Third Proportional to 184,553 and 397,913

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Solution

The third proportional to 184,553 and 397,913 is: 857,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,553 : 397,913 = 397,913 : x
  2. Step 2: Convert to fraction form
    184,553/397,913 = 397,913/x
  3. Step 3: Cross multiply
    184,553x = 397,913 × 397,913
  4. Step 4: Simplify right side
    184,553x = 158,334,755,569
  5. Step 5: Solve for x
    x = 158,334,755,569/184,553
  6. Step 6: Final answer
    x = 857,936.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.