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Finding the Third Proportional to 273.06 and 616.68

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Solution

The third proportional to 273.06 and 616.68 is: 1,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.06 : 616.68 = 616.68 : x
  2. Step 2: Convert to fraction form
    273.06/616.68 = 616.68/x
  3. Step 3: Cross multiply
    273.06x = 616.68 × 616.68
  4. Step 4: Simplify right side
    273.06x = 380,289.02
  5. Step 5: Solve for x
    x = 380,289.02/273.06
  6. Step 6: Final answer
    x = 1,392.70

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.