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Finding the Third Proportional to 114.56 and 244.31

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Solution

The third proportional to 114.56 and 244.31 is: 521.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.56 : 244.31 = 244.31 : x
  2. Step 2: Convert to fraction form
    114.56/244.31 = 244.31/x
  3. Step 3: Cross multiply
    114.56x = 244.31 × 244.31
  4. Step 4: Simplify right side
    114.56x = 59,688.60
  5. Step 5: Solve for x
    x = 59,688.60/114.56
  6. Step 6: Final answer
    x = 521.01

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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.