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Finding the Third Proportional to 83.75 and 186.63

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Solution

The third proportional to 83.75 and 186.63 is: 415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.75 : 186.63 = 186.63 : x
  2. Step 2: Convert to fraction form
    83.75/186.63 = 186.63/x
  3. Step 3: Cross multiply
    83.75x = 186.63 × 186.63
  4. Step 4: Simplify right side
    83.75x = 34,828.89
  5. Step 5: Solve for x
    x = 34,828.89/83.75
  6. Step 6: Final answer
    x = 415.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.