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Finding the Third Proportional to 184,016 and 272,014

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Solution

The third proportional to 184,016 and 272,014 is: 402,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,016 : 272,014 = 272,014 : x
  2. Step 2: Convert to fraction form
    184,016/272,014 = 272,014/x
  3. Step 3: Cross multiply
    184,016x = 272,014 × 272,014
  4. Step 4: Simplify right side
    184,016x = 73,991,616,196
  5. Step 5: Solve for x
    x = 73,991,616,196/184,016
  6. Step 6: Final answer
    x = 402,093.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.