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Finding the Third Proportional to 174 and 247.50

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Solution

The third proportional to 174 and 247.50 is: 352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174 : 247.50 = 247.50 : x
  2. Step 2: Convert to fraction form
    174/247.50 = 247.50/x
  3. Step 3: Cross multiply
    174x = 247.50 × 247.50
  4. Step 4: Simplify right side
    174x = 61,256.25
  5. Step 5: Solve for x
    x = 61,256.25/174
  6. Step 6: Final answer
    x = 352.05

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.