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Finding the Third Proportional to 177.25 and 273.81

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Solution

The third proportional to 177.25 and 273.81 is: 422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.25 : 273.81 = 273.81 : x
  2. Step 2: Convert to fraction form
    177.25/273.81 = 273.81/x
  3. Step 3: Cross multiply
    177.25x = 273.81 × 273.81
  4. Step 4: Simplify right side
    177.25x = 74,973.29
  5. Step 5: Solve for x
    x = 74,973.29/177.25
  6. Step 6: Final answer
    x = 422.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.