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Finding the Third Proportional to 182.04 and 369.14

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Solution

The third proportional to 182.04 and 369.14 is: 748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.04 : 369.14 = 369.14 : x
  2. Step 2: Convert to fraction form
    182.04/369.14 = 369.14/x
  3. Step 3: Cross multiply
    182.04x = 369.14 × 369.14
  4. Step 4: Simplify right side
    182.04x = 136,264.80
  5. Step 5: Solve for x
    x = 136,264.80/182.04
  6. Step 6: Final answer
    x = 748.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.