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Finding the Third Proportional to 273.38 and 600.14

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Solution

The third proportional to 273.38 and 600.14 is: 1,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.38 : 600.14 = 600.14 : x
  2. Step 2: Convert to fraction form
    273.38/600.14 = 600.14/x
  3. Step 3: Cross multiply
    273.38x = 600.14 × 600.14
  4. Step 4: Simplify right side
    273.38x = 360,172.29
  5. Step 5: Solve for x
    x = 360,172.29/273.38
  6. Step 6: Final answer
    x = 1,317.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.