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Finding the Third Proportional to 185.34 and 273.09

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Solution

The third proportional to 185.34 and 273.09 is: 402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.34 : 273.09 = 273.09 : x
  2. Step 2: Convert to fraction form
    185.34/273.09 = 273.09/x
  3. Step 3: Cross multiply
    185.34x = 273.09 × 273.09
  4. Step 4: Simplify right side
    185.34x = 74,580.20
  5. Step 5: Solve for x
    x = 74,580.20/185.34
  6. Step 6: Final answer
    x = 402.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.