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Finding the Third Proportional to 179.50 and 461

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Solution

The third proportional to 179.50 and 461 is: 1,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.50 : 461 = 461 : x
  2. Step 2: Convert to fraction form
    179.50/461 = 461/x
  3. Step 3: Cross multiply
    179.50x = 461 × 461
  4. Step 4: Simplify right side
    179.50x = 212,521
  5. Step 5: Solve for x
    x = 212,521/179.50
  6. Step 6: Final answer
    x = 1,183.96

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.