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Finding the Third Proportional to 84,822 and 184,260

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Solution

The third proportional to 84,822 and 184,260 is: 400,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,822 : 184,260 = 184,260 : x
  2. Step 2: Convert to fraction form
    84,822/184,260 = 184,260/x
  3. Step 3: Cross multiply
    84,822x = 184,260 × 184,260
  4. Step 4: Simplify right side
    84,822x = 33,951,747,600
  5. Step 5: Solve for x
    x = 33,951,747,600/84,822
  6. Step 6: Final answer
    x = 400,270.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.