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Finding the Third Proportional to 202 and 281.94

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Solution

The third proportional to 202 and 281.94 is: 393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202 : 281.94 = 281.94 : x
  2. Step 2: Convert to fraction form
    202/281.94 = 281.94/x
  3. Step 3: Cross multiply
    202x = 281.94 × 281.94
  4. Step 4: Simplify right side
    202x = 79,488.75
  5. Step 5: Solve for x
    x = 79,488.75/202
  6. Step 6: Final answer
    x = 393.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.