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Finding the Third Proportional to 176.77 and 200.39

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Solution

The third proportional to 176.77 and 200.39 is: 227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.77 : 200.39 = 200.39 : x
  2. Step 2: Convert to fraction form
    176.77/200.39 = 200.39/x
  3. Step 3: Cross multiply
    176.77x = 200.39 × 200.39
  4. Step 4: Simplify right side
    176.77x = 40,156.40
  5. Step 5: Solve for x
    x = 40,156.40/176.77
  6. Step 6: Final answer
    x = 227.17

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.