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Finding the Third Proportional to 176.75 and 198.50

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Solution

The third proportional to 176.75 and 198.50 is: 222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.75 : 198.50 = 198.50 : x
  2. Step 2: Convert to fraction form
    176.75/198.50 = 198.50/x
  3. Step 3: Cross multiply
    176.75x = 198.50 × 198.50
  4. Step 4: Simplify right side
    176.75x = 39,402.25
  5. Step 5: Solve for x
    x = 39,402.25/176.75
  6. Step 6: Final answer
    x = 222.93

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.