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Finding the Third Proportional to 194.88 and 407.69

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Solution

The third proportional to 194.88 and 407.69 is: 852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.88 : 407.69 = 407.69 : x
  2. Step 2: Convert to fraction form
    194.88/407.69 = 407.69/x
  3. Step 3: Cross multiply
    194.88x = 407.69 × 407.69
  4. Step 4: Simplify right side
    194.88x = 166,209.10
  5. Step 5: Solve for x
    x = 166,209.10/194.88
  6. Step 6: Final answer
    x = 852.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.