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Finding the Third Proportional to 273.69 and 608.19

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Solution

The third proportional to 273.69 and 608.19 is: 1,351.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.69 : 608.19 = 608.19 : x
  2. Step 2: Convert to fraction form
    273.69/608.19 = 608.19/x
  3. Step 3: Cross multiply
    273.69x = 608.19 × 608.19
  4. Step 4: Simplify right side
    273.69x = 369,892.04
  5. Step 5: Solve for x
    x = 369,892.04/273.69
  6. Step 6: Final answer
    x = 1,351.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.