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Finding the Third Proportional to 196.25 and 312.38

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Solution

The third proportional to 196.25 and 312.38 is: 497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.25 : 312.38 = 312.38 : x
  2. Step 2: Convert to fraction form
    196.25/312.38 = 312.38/x
  3. Step 3: Cross multiply
    196.25x = 312.38 × 312.38
  4. Step 4: Simplify right side
    196.25x = 97,578.14
  5. Step 5: Solve for x
    x = 97,578.14/196.25
  6. Step 6: Final answer
    x = 497.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.