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Finding the Third Proportional to 174.81 and 244.56

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Solution

The third proportional to 174.81 and 244.56 is: 342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.81 : 244.56 = 244.56 : x
  2. Step 2: Convert to fraction form
    174.81/244.56 = 244.56/x
  3. Step 3: Cross multiply
    174.81x = 244.56 × 244.56
  4. Step 4: Simplify right side
    174.81x = 59,810.82
  5. Step 5: Solve for x
    x = 59,810.82/174.81
  6. Step 6: Final answer
    x = 342.14

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.