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Finding the Third Proportional to 86,814 and 184,286

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Solution

The third proportional to 86,814 and 184,286 is: 391,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,814 : 184,286 = 184,286 : x
  2. Step 2: Convert to fraction form
    86,814/184,286 = 184,286/x
  3. Step 3: Cross multiply
    86,814x = 184,286 × 184,286
  4. Step 4: Simplify right side
    86,814x = 33,961,329,796
  5. Step 5: Solve for x
    x = 33,961,329,796/86,814
  6. Step 6: Final answer
    x = 391,196.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.