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Finding the Third Proportional to 193.64 and 303.96

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Solution

The third proportional to 193.64 and 303.96 is: 477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.64 : 303.96 = 303.96 : x
  2. Step 2: Convert to fraction form
    193.64/303.96 = 303.96/x
  3. Step 3: Cross multiply
    193.64x = 303.96 × 303.96
  4. Step 4: Simplify right side
    193.64x = 92,392.25
  5. Step 5: Solve for x
    x = 92,392.25/193.64
  6. Step 6: Final answer
    x = 477.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.