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Finding the Third Proportional to 184,801.50 and 296,520.75

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Solution

The third proportional to 184,801.50 and 296,520.75 is: 475,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,801.50 : 296,520.75 = 296,520.75 : x
  2. Step 2: Convert to fraction form
    184,801.50/296,520.75 = 296,520.75/x
  3. Step 3: Cross multiply
    184,801.50x = 296,520.75 × 296,520.75
  4. Step 4: Simplify right side
    184,801.50x = 87,924,555,180.56
  5. Step 5: Solve for x
    x = 87,924,555,180.56/184,801.50
  6. Step 6: Final answer
    x = 475,778.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.