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Finding the Third Proportional to 226,183.25 and 344,581.25

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Solution

The third proportional to 226,183.25 and 344,581.25 is: 524,955.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,183.25 : 344,581.25 = 344,581.25 : x
  2. Step 2: Convert to fraction form
    226,183.25/344,581.25 = 344,581.25/x
  3. Step 3: Cross multiply
    226,183.25x = 344,581.25 × 344,581.25
  4. Step 4: Simplify right side
    226,183.25x = 118,736,237,851.56
  5. Step 5: Solve for x
    x = 118,736,237,851.56/226,183.25
  6. Step 6: Final answer
    x = 524,955.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.