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Finding the Third Proportional to 84,322 and 184,184

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Solution

The third proportional to 84,322 and 184,184 is: 402,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,322 : 184,184 = 184,184 : x
  2. Step 2: Convert to fraction form
    84,322/184,184 = 184,184/x
  3. Step 3: Cross multiply
    84,322x = 184,184 × 184,184
  4. Step 4: Simplify right side
    84,322x = 33,923,745,856
  5. Step 5: Solve for x
    x = 33,923,745,856/84,322
  6. Step 6: Final answer
    x = 402,311.92

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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.