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Finding the Third Proportional to 84,170 and 184,178

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Solution

The third proportional to 84,170 and 184,178 is: 403,012.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,170 : 184,178 = 184,178 : x
  2. Step 2: Convert to fraction form
    84,170/184,178 = 184,178/x
  3. Step 3: Cross multiply
    84,170x = 184,178 × 184,178
  4. Step 4: Simplify right side
    84,170x = 33,921,535,684
  5. Step 5: Solve for x
    x = 33,921,535,684/84,170
  6. Step 6: Final answer
    x = 403,012.19

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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.