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Finding the Third Proportional to 162.75 and 176.50

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Solution

The third proportional to 162.75 and 176.50 is: 191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.75 : 176.50 = 176.50 : x
  2. Step 2: Convert to fraction form
    162.75/176.50 = 176.50/x
  3. Step 3: Cross multiply
    162.75x = 176.50 × 176.50
  4. Step 4: Simplify right side
    162.75x = 31,152.25
  5. Step 5: Solve for x
    x = 31,152.25/162.75
  6. Step 6: Final answer
    x = 191.41

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.