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Finding the Third Proportional to 84,955 and 184,678

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Solution

The third proportional to 84,955 and 184,678 is: 401,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,955 : 184,678 = 184,678 : x
  2. Step 2: Convert to fraction form
    84,955/184,678 = 184,678/x
  3. Step 3: Cross multiply
    84,955x = 184,678 × 184,678
  4. Step 4: Simplify right side
    84,955x = 34,105,963,684
  5. Step 5: Solve for x
    x = 34,105,963,684/84,955
  6. Step 6: Final answer
    x = 401,459.17

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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.