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Finding the Third Proportional to 145,640.53 and 226,029.87

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Solution

The third proportional to 145,640.53 and 226,029.87 is: 350,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,640.53 : 226,029.87 = 226,029.87 : x
  2. Step 2: Convert to fraction form
    145,640.53/226,029.87 = 226,029.87/x
  3. Step 3: Cross multiply
    145,640.53x = 226,029.87 × 226,029.87
  4. Step 4: Simplify right side
    145,640.53x = 51,089,500,860.80
  5. Step 5: Solve for x
    x = 51,089,500,860.80/145,640.53
  6. Step 6: Final answer
    x = 350,791.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.