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Finding the Third Proportional to 188.88 and 414.81

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Solution

The third proportional to 188.88 and 414.81 is: 911.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.88 : 414.81 = 414.81 : x
  2. Step 2: Convert to fraction form
    188.88/414.81 = 414.81/x
  3. Step 3: Cross multiply
    188.88x = 414.81 × 414.81
  4. Step 4: Simplify right side
    188.88x = 172,069.41
  5. Step 5: Solve for x
    x = 172,069.41/188.88
  6. Step 6: Final answer
    x = 911.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.