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Finding the Third Proportional to 126.70 and 273.16

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Solution

The third proportional to 126.70 and 273.16 is: 588.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.70 : 273.16 = 273.16 : x
  2. Step 2: Convert to fraction form
    126.70/273.16 = 273.16/x
  3. Step 3: Cross multiply
    126.70x = 273.16 × 273.16
  4. Step 4: Simplify right side
    126.70x = 74,618.61
  5. Step 5: Solve for x
    x = 74,618.61/126.70
  6. Step 6: Final answer
    x = 588.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.