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Finding the Third Proportional to 114.56 and 182.58

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Solution

The third proportional to 114.56 and 182.58 is: 290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.56 : 182.58 = 182.58 : x
  2. Step 2: Convert to fraction form
    114.56/182.58 = 182.58/x
  3. Step 3: Cross multiply
    114.56x = 182.58 × 182.58
  4. Step 4: Simplify right side
    114.56x = 33,334.77
  5. Step 5: Solve for x
    x = 33,334.77/114.56
  6. Step 6: Final answer
    x = 290.97

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Why These Related Problems?

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