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Finding the Third Proportional to 84,199.50 and 184,254

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Solution

The third proportional to 84,199.50 and 184,254 is: 403,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,199.50 : 184,254 = 184,254 : x
  2. Step 2: Convert to fraction form
    84,199.50/184,254 = 184,254/x
  3. Step 3: Cross multiply
    84,199.50x = 184,254 × 184,254
  4. Step 4: Simplify right side
    84,199.50x = 33,949,536,516
  5. Step 5: Solve for x
    x = 33,949,536,516/84,199.50
  6. Step 6: Final answer
    x = 403,203.54

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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.