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Finding the Third Proportional to 84.09 and 180.28

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Solution

The third proportional to 84.09 and 180.28 is: 386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.09 : 180.28 = 180.28 : x
  2. Step 2: Convert to fraction form
    84.09/180.28 = 180.28/x
  3. Step 3: Cross multiply
    84.09x = 180.28 × 180.28
  4. Step 4: Simplify right side
    84.09x = 32,501.33
  5. Step 5: Solve for x
    x = 32,501.33/84.09
  6. Step 6: Final answer
    x = 386.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.