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Finding the Third Proportional to 246.73 and 291.73

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Solution

The third proportional to 246.73 and 291.73 is: 344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.73 : 291.73 = 291.73 : x
  2. Step 2: Convert to fraction form
    246.73/291.73 = 291.73/x
  3. Step 3: Cross multiply
    246.73x = 291.73 × 291.73
  4. Step 4: Simplify right side
    246.73x = 85,104.39
  5. Step 5: Solve for x
    x = 85,104.39/246.73
  6. Step 6: Final answer
    x = 344.93

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.