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Finding the Third Proportional to 241,395.75 and 365,199.75

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Solution

The third proportional to 241,395.75 and 365,199.75 is: 552,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,395.75 : 365,199.75 = 365,199.75 : x
  2. Step 2: Convert to fraction form
    241,395.75/365,199.75 = 365,199.75/x
  3. Step 3: Cross multiply
    241,395.75x = 365,199.75 × 365,199.75
  4. Step 4: Simplify right side
    241,395.75x = 133,370,857,400.06
  5. Step 5: Solve for x
    x = 133,370,857,400.06/241,395.75
  6. Step 6: Final answer
    x = 552,498.78

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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.