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Finding the Third Proportional to 84.70 and 183.19

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Solution

The third proportional to 84.70 and 183.19 is: 396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.70 : 183.19 = 183.19 : x
  2. Step 2: Convert to fraction form
    84.70/183.19 = 183.19/x
  3. Step 3: Cross multiply
    84.70x = 183.19 × 183.19
  4. Step 4: Simplify right side
    84.70x = 33,557.66
  5. Step 5: Solve for x
    x = 33,557.66/84.70
  6. Step 6: Final answer
    x = 396.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.