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Finding the Third Proportional to 84,714 and 184,185

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Solution

The third proportional to 84,714 and 184,185 is: 400,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,714 : 184,185 = 184,185 : x
  2. Step 2: Convert to fraction form
    84,714/184,185 = 184,185/x
  3. Step 3: Cross multiply
    84,714x = 184,185 × 184,185
  4. Step 4: Simplify right side
    84,714x = 33,924,114,225
  5. Step 5: Solve for x
    x = 33,924,114,225/84,714
  6. Step 6: Final answer
    x = 400,454.64

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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.