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Finding the Third Proportional to 84.16 and 183.99

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Solution

The third proportional to 84.16 and 183.99 is: 402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.16 : 183.99 = 183.99 : x
  2. Step 2: Convert to fraction form
    84.16/183.99 = 183.99/x
  3. Step 3: Cross multiply
    84.16x = 183.99 × 183.99
  4. Step 4: Simplify right side
    84.16x = 33,852.41
  5. Step 5: Solve for x
    x = 33,852.41/84.16
  6. Step 6: Final answer
    x = 402.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.