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Finding the Third Proportional to 114.54 and 247.43

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Solution

The third proportional to 114.54 and 247.43 is: 534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.54 : 247.43 = 247.43 : x
  2. Step 2: Convert to fraction form
    114.54/247.43 = 247.43/x
  3. Step 3: Cross multiply
    114.54x = 247.43 × 247.43
  4. Step 4: Simplify right side
    114.54x = 61,221.45
  5. Step 5: Solve for x
    x = 61,221.45/114.54
  6. Step 6: Final answer
    x = 534.50

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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.