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Finding the Third Proportional to 252.75 and 546.56

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Solution

The third proportional to 252.75 and 546.56 is: 1,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.75 : 546.56 = 546.56 : x
  2. Step 2: Convert to fraction form
    252.75/546.56 = 546.56/x
  3. Step 3: Cross multiply
    252.75x = 546.56 × 546.56
  4. Step 4: Simplify right side
    252.75x = 298,730.57
  5. Step 5: Solve for x
    x = 298,730.57/252.75
  6. Step 6: Final answer
    x = 1,181.92

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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.