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Finding the Third Proportional to 84.16 and 183.45

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Solution

The third proportional to 84.16 and 183.45 is: 399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.16 : 183.45 = 183.45 : x
  2. Step 2: Convert to fraction form
    84.16/183.45 = 183.45/x
  3. Step 3: Cross multiply
    84.16x = 183.45 × 183.45
  4. Step 4: Simplify right side
    84.16x = 33,652.18
  5. Step 5: Solve for x
    x = 33,652.18/84.16
  6. Step 6: Final answer
    x = 399.84

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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.