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Finding the Third Proportional to 184,633.50 and 269,620.50

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Solution

The third proportional to 184,633.50 and 269,620.50 is: 393,727.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,633.50 : 269,620.50 = 269,620.50 : x
  2. Step 2: Convert to fraction form
    184,633.50/269,620.50 = 269,620.50/x
  3. Step 3: Cross multiply
    184,633.50x = 269,620.50 × 269,620.50
  4. Step 4: Simplify right side
    184,633.50x = 72,695,214,020.25
  5. Step 5: Solve for x
    x = 72,695,214,020.25/184,633.50
  6. Step 6: Final answer
    x = 393,727.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.