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Finding the Third Proportional to 182,103.75 and 275,694.75

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Solution

The third proportional to 182,103.75 and 275,694.75 is: 417,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,103.75 : 275,694.75 = 275,694.75 : x
  2. Step 2: Convert to fraction form
    182,103.75/275,694.75 = 275,694.75/x
  3. Step 3: Cross multiply
    182,103.75x = 275,694.75 × 275,694.75
  4. Step 4: Simplify right side
    182,103.75x = 76,007,595,177.56
  5. Step 5: Solve for x
    x = 76,007,595,177.56/182,103.75
  6. Step 6: Final answer
    x = 417,386.22

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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.