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Finding the Third Proportional to 184,126 and 397,298

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Solution

The third proportional to 184,126 and 397,298 is: 857,270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,126 : 397,298 = 397,298 : x
  2. Step 2: Convert to fraction form
    184,126/397,298 = 397,298/x
  3. Step 3: Cross multiply
    184,126x = 397,298 × 397,298
  4. Step 4: Simplify right side
    184,126x = 157,845,700,804
  5. Step 5: Solve for x
    x = 157,845,700,804/184,126
  6. Step 6: Final answer
    x = 857,270.03

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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.