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Finding the Third Proportional to 83.60 and 183.16

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Solution

The third proportional to 83.60 and 183.16 is: 401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.60 : 183.16 = 183.16 : x
  2. Step 2: Convert to fraction form
    83.60/183.16 = 183.16/x
  3. Step 3: Cross multiply
    83.60x = 183.16 × 183.16
  4. Step 4: Simplify right side
    83.60x = 33,549.07
  5. Step 5: Solve for x
    x = 33,549.07/83.60
  6. Step 6: Final answer
    x = 401.30

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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.