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Finding the Third Proportional to 84,734 and 184,226

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Solution

The third proportional to 84,734 and 184,226 is: 400,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,734 : 184,226 = 184,226 : x
  2. Step 2: Convert to fraction form
    84,734/184,226 = 184,226/x
  3. Step 3: Cross multiply
    84,734x = 184,226 × 184,226
  4. Step 4: Simplify right side
    84,734x = 33,939,219,076
  5. Step 5: Solve for x
    x = 33,939,219,076/84,734
  6. Step 6: Final answer
    x = 400,538.38

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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.