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Finding the Third Proportional to 180.63 and 200.46

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Solution

The third proportional to 180.63 and 200.46 is: 222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.63 : 200.46 = 200.46 : x
  2. Step 2: Convert to fraction form
    180.63/200.46 = 200.46/x
  3. Step 3: Cross multiply
    180.63x = 200.46 × 200.46
  4. Step 4: Simplify right side
    180.63x = 40,184.59
  5. Step 5: Solve for x
    x = 40,184.59/180.63
  6. Step 6: Final answer
    x = 222.47

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.