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Finding the Third Proportional to 194.44 and 432.09

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Solution

The third proportional to 194.44 and 432.09 is: 960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.44 : 432.09 = 432.09 : x
  2. Step 2: Convert to fraction form
    194.44/432.09 = 432.09/x
  3. Step 3: Cross multiply
    194.44x = 432.09 × 432.09
  4. Step 4: Simplify right side
    194.44x = 186,705.01
  5. Step 5: Solve for x
    x = 186,705.01/194.44
  6. Step 6: Final answer
    x = 960.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.