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Finding the Third Proportional to 84,734 and 184,538

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Solution

The third proportional to 84,734 and 184,538 is: 401,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,734 : 184,538 = 184,538 : x
  2. Step 2: Convert to fraction form
    84,734/184,538 = 184,538/x
  3. Step 3: Cross multiply
    84,734x = 184,538 × 184,538
  4. Step 4: Simplify right side
    84,734x = 34,054,273,444
  5. Step 5: Solve for x
    x = 34,054,273,444/84,734
  6. Step 6: Final answer
    x = 401,896.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.