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Finding the Third Proportional to 94.21 and 202.72

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Solution

The third proportional to 94.21 and 202.72 is: 436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.21 : 202.72 = 202.72 : x
  2. Step 2: Convert to fraction form
    94.21/202.72 = 202.72/x
  3. Step 3: Cross multiply
    94.21x = 202.72 × 202.72
  4. Step 4: Simplify right side
    94.21x = 41,094.40
  5. Step 5: Solve for x
    x = 41,094.40/94.21
  6. Step 6: Final answer
    x = 436.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.