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Finding the Third Proportional to 114.05 and 181.55

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Solution

The third proportional to 114.05 and 181.55 is: 289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.05 : 181.55 = 181.55 : x
  2. Step 2: Convert to fraction form
    114.05/181.55 = 181.55/x
  3. Step 3: Cross multiply
    114.05x = 181.55 × 181.55
  4. Step 4: Simplify right side
    114.05x = 32,959.27
  5. Step 5: Solve for x
    x = 32,959.27/114.05
  6. Step 6: Final answer
    x = 289.00

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.