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Finding the Third Proportional to 88.69 and 186.94

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Solution

The third proportional to 88.69 and 186.94 is: 394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.69 : 186.94 = 186.94 : x
  2. Step 2: Convert to fraction form
    88.69/186.94 = 186.94/x
  3. Step 3: Cross multiply
    88.69x = 186.94 × 186.94
  4. Step 4: Simplify right side
    88.69x = 34,945.63
  5. Step 5: Solve for x
    x = 34,945.63/88.69
  6. Step 6: Final answer
    x = 394.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.