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Finding the Third Proportional to 183 and 258.94

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Solution

The third proportional to 183 and 258.94 is: 366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    183 : 258.94 = 258.94 : x
  2. Step 2: Convert to fraction form
    183/258.94 = 258.94/x
  3. Step 3: Cross multiply
    183x = 258.94 × 258.94
  4. Step 4: Simplify right side
    183x = 67,048.63
  5. Step 5: Solve for x
    x = 67,048.63/183
  6. Step 6: Final answer
    x = 366.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.