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Finding the Third Proportional to 84,224.81 and 184,275

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Solution

The third proportional to 84,224.81 and 184,275 is: 403,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,224.81 : 184,275 = 184,275 : x
  2. Step 2: Convert to fraction form
    84,224.81/184,275 = 184,275/x
  3. Step 3: Cross multiply
    84,224.81x = 184,275 × 184,275
  4. Step 4: Simplify right side
    84,224.81x = 33,957,275,625
  5. Step 5: Solve for x
    x = 33,957,275,625/84,224.81
  6. Step 6: Final answer
    x = 403,174.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.