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Finding the Third Proportional to 83.60 and 190.45

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Solution

The third proportional to 83.60 and 190.45 is: 433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.60 : 190.45 = 190.45 : x
  2. Step 2: Convert to fraction form
    83.60/190.45 = 190.45/x
  3. Step 3: Cross multiply
    83.60x = 190.45 × 190.45
  4. Step 4: Simplify right side
    83.60x = 36,272.39
  5. Step 5: Solve for x
    x = 36,272.39/83.60
  6. Step 6: Final answer
    x = 433.87

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.