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Finding the Third Proportional to 241,395 and 365,198.50

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Solution

The third proportional to 241,395 and 365,198.50 is: 552,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,395 : 365,198.50 = 365,198.50 : x
  2. Step 2: Convert to fraction form
    241,395/365,198.50 = 365,198.50/x
  3. Step 3: Cross multiply
    241,395x = 365,198.50 × 365,198.50
  4. Step 4: Simplify right side
    241,395x = 133,369,944,402.25
  5. Step 5: Solve for x
    x = 133,369,944,402.25/241,395
  6. Step 6: Final answer
    x = 552,496.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.