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Finding the Third Proportional to 174 and 199.50

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Solution

The third proportional to 174 and 199.50 is: 228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174 : 199.50 = 199.50 : x
  2. Step 2: Convert to fraction form
    174/199.50 = 199.50/x
  3. Step 3: Cross multiply
    174x = 199.50 × 199.50
  4. Step 4: Simplify right side
    174x = 39,800.25
  5. Step 5: Solve for x
    x = 39,800.25/174
  6. Step 6: Final answer
    x = 228.74

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.