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Finding the Third Proportional to 194.39 and 425.16

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Solution

The third proportional to 194.39 and 425.16 is: 929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.39 : 425.16 = 425.16 : x
  2. Step 2: Convert to fraction form
    194.39/425.16 = 425.16/x
  3. Step 3: Cross multiply
    194.39x = 425.16 × 425.16
  4. Step 4: Simplify right side
    194.39x = 180,757.84
  5. Step 5: Solve for x
    x = 180,757.84/194.39
  6. Step 6: Final answer
    x = 929.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.