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Finding the Third Proportional to 194.81 and 461.16

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Solution

The third proportional to 194.81 and 461.16 is: 1,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.81 : 461.16 = 461.16 : x
  2. Step 2: Convert to fraction form
    194.81/461.16 = 461.16/x
  3. Step 3: Cross multiply
    194.81x = 461.16 × 461.16
  4. Step 4: Simplify right side
    194.81x = 212,665.09
  5. Step 5: Solve for x
    x = 212,665.09/194.81
  6. Step 6: Final answer
    x = 1,091.64

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.