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Finding the Third Proportional to 85,000 and 184,904

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Solution

The third proportional to 85,000 and 184,904 is: 402,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,000 : 184,904 = 184,904 : x
  2. Step 2: Convert to fraction form
    85,000/184,904 = 184,904/x
  3. Step 3: Cross multiply
    85,000x = 184,904 × 184,904
  4. Step 4: Simplify right side
    85,000x = 34,189,489,216
  5. Step 5: Solve for x
    x = 34,189,489,216/85,000
  6. Step 6: Final answer
    x = 402,229.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.