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Finding the Third Proportional to 246.53 and 531.75

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Solution

The third proportional to 246.53 and 531.75 is: 1,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.53 : 531.75 = 531.75 : x
  2. Step 2: Convert to fraction form
    246.53/531.75 = 531.75/x
  3. Step 3: Cross multiply
    246.53x = 531.75 × 531.75
  4. Step 4: Simplify right side
    246.53x = 282,757.79
  5. Step 5: Solve for x
    x = 282,757.79/246.53
  6. Step 6: Final answer
    x = 1,146.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.