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Finding the Third Proportional to 84,825 and 184,405

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Solution

The third proportional to 84,825 and 184,405 is: 400,886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,825 : 184,405 = 184,405 : x
  2. Step 2: Convert to fraction form
    84,825/184,405 = 184,405/x
  3. Step 3: Cross multiply
    84,825x = 184,405 × 184,405
  4. Step 4: Simplify right side
    84,825x = 34,005,204,025
  5. Step 5: Solve for x
    x = 34,005,204,025/84,825
  6. Step 6: Final answer
    x = 400,886.58

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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.