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Finding the Third Proportional to 84,184 and 184,196

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Solution

The third proportional to 84,184 and 184,196 is: 403,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,184 : 184,196 = 184,196 : x
  2. Step 2: Convert to fraction form
    84,184/184,196 = 184,196/x
  3. Step 3: Cross multiply
    84,184x = 184,196 × 184,196
  4. Step 4: Simplify right side
    84,184x = 33,928,166,416
  5. Step 5: Solve for x
    x = 33,928,166,416/84,184
  6. Step 6: Final answer
    x = 403,023.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.