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Finding the Third Proportional to 260,024.50 and 365,099

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Solution

The third proportional to 260,024.50 and 365,099 is: 512,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,024.50 : 365,099 = 365,099 : x
  2. Step 2: Convert to fraction form
    260,024.50/365,099 = 365,099/x
  3. Step 3: Cross multiply
    260,024.50x = 365,099 × 365,099
  4. Step 4: Simplify right side
    260,024.50x = 133,297,279,801
  5. Step 5: Solve for x
    x = 133,297,279,801/260,024.50
  6. Step 6: Final answer
    x = 512,633.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.