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Finding the Third Proportional to 246.56 and 281.06

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Solution

The third proportional to 246.56 and 281.06 is: 320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.56 : 281.06 = 281.06 : x
  2. Step 2: Convert to fraction form
    246.56/281.06 = 281.06/x
  3. Step 3: Cross multiply
    246.56x = 281.06 × 281.06
  4. Step 4: Simplify right side
    246.56x = 78,996.13
  5. Step 5: Solve for x
    x = 78,996.13/246.56
  6. Step 6: Final answer
    x = 320.39

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.