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Finding the Third Proportional to 114.88 and 244.56

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Solution

The third proportional to 114.88 and 244.56 is: 520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.88 : 244.56 = 244.56 : x
  2. Step 2: Convert to fraction form
    114.88/244.56 = 244.56/x
  3. Step 3: Cross multiply
    114.88x = 244.56 × 244.56
  4. Step 4: Simplify right side
    114.88x = 59,810.82
  5. Step 5: Solve for x
    x = 59,810.82/114.88
  6. Step 6: Final answer
    x = 520.66

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.