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Finding the Third Proportional to 234.38 and 514.88

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Solution

The third proportional to 234.38 and 514.88 is: 1,131.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.38 : 514.88 = 514.88 : x
  2. Step 2: Convert to fraction form
    234.38/514.88 = 514.88/x
  3. Step 3: Cross multiply
    234.38x = 514.88 × 514.88
  4. Step 4: Simplify right side
    234.38x = 265,096.27
  5. Step 5: Solve for x
    x = 265,096.27/234.38
  6. Step 6: Final answer
    x = 1,131.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.