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Finding the Third Proportional to 176.50 and 212

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Solution

The third proportional to 176.50 and 212 is: 254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.50 : 212 = 212 : x
  2. Step 2: Convert to fraction form
    176.50/212 = 212/x
  3. Step 3: Cross multiply
    176.50x = 212 × 212
  4. Step 4: Simplify right side
    176.50x = 44,944
  5. Step 5: Solve for x
    x = 44,944/176.50
  6. Step 6: Final answer
    x = 254.64

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.