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Finding the Third Proportional to 92.25 and 197.06

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Solution

The third proportional to 92.25 and 197.06 is: 420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.25 : 197.06 = 197.06 : x
  2. Step 2: Convert to fraction form
    92.25/197.06 = 197.06/x
  3. Step 3: Cross multiply
    92.25x = 197.06 × 197.06
  4. Step 4: Simplify right side
    92.25x = 38,833.63
  5. Step 5: Solve for x
    x = 38,833.63/92.25
  6. Step 6: Final answer
    x = 420.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.