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Finding the Third Proportional to 196.49 and 303.28

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Solution

The third proportional to 196.49 and 303.28 is: 468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.49 : 303.28 = 303.28 : x
  2. Step 2: Convert to fraction form
    196.49/303.28 = 303.28/x
  3. Step 3: Cross multiply
    196.49x = 303.28 × 303.28
  4. Step 4: Simplify right side
    196.49x = 91,975.96
  5. Step 5: Solve for x
    x = 91,975.96/196.49
  6. Step 6: Final answer
    x = 468.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.