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Finding the Third Proportional to 114.74 and 184.73

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Solution

The third proportional to 114.74 and 184.73 is: 297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.74 : 184.73 = 184.73 : x
  2. Step 2: Convert to fraction form
    114.74/184.73 = 184.73/x
  3. Step 3: Cross multiply
    114.74x = 184.73 × 184.73
  4. Step 4: Simplify right side
    114.74x = 34,124.02
  5. Step 5: Solve for x
    x = 34,124.02/114.74
  6. Step 6: Final answer
    x = 297.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.