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Finding the Third Proportional to 84,944 and 184,656

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Solution

The third proportional to 84,944 and 184,656 is: 401,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,944 : 184,656 = 184,656 : x
  2. Step 2: Convert to fraction form
    84,944/184,656 = 184,656/x
  3. Step 3: Cross multiply
    84,944x = 184,656 × 184,656
  4. Step 4: Simplify right side
    84,944x = 34,097,838,336
  5. Step 5: Solve for x
    x = 34,097,838,336/84,944
  6. Step 6: Final answer
    x = 401,415.50

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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.