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Finding the Third Proportional to 184,983.75 and 398,023.88

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Solution

The third proportional to 184,983.75 and 398,023.88 is: 856,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,983.75 : 398,023.88 = 398,023.88 : x
  2. Step 2: Convert to fraction form
    184,983.75/398,023.88 = 398,023.88/x
  3. Step 3: Cross multiply
    184,983.75x = 398,023.88 × 398,023.88
  4. Step 4: Simplify right side
    184,983.75x = 158,423,005,070.02
  5. Step 5: Solve for x
    x = 158,423,005,070.02/184,983.75
  6. Step 6: Final answer
    x = 856,415.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.