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Finding the Third Proportional to 82,804 and 184,344

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Solution

The third proportional to 82,804 and 184,344 is: 410,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,804 : 184,344 = 184,344 : x
  2. Step 2: Convert to fraction form
    82,804/184,344 = 184,344/x
  3. Step 3: Cross multiply
    82,804x = 184,344 × 184,344
  4. Step 4: Simplify right side
    82,804x = 33,982,710,336
  5. Step 5: Solve for x
    x = 33,982,710,336/82,804
  6. Step 6: Final answer
    x = 410,399.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.