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Finding the Third Proportional to 84.56 and 184.41

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Solution

The third proportional to 84.56 and 184.41 is: 402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.56 : 184.41 = 184.41 : x
  2. Step 2: Convert to fraction form
    84.56/184.41 = 184.41/x
  3. Step 3: Cross multiply
    84.56x = 184.41 × 184.41
  4. Step 4: Simplify right side
    84.56x = 34,005.67
  5. Step 5: Solve for x
    x = 34,005.67/84.56
  6. Step 6: Final answer
    x = 402.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.