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Finding the Third Proportional to 76.50 and 179.63

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Solution

The third proportional to 76.50 and 179.63 is: 421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.50 : 179.63 = 179.63 : x
  2. Step 2: Convert to fraction form
    76.50/179.63 = 179.63/x
  3. Step 3: Cross multiply
    76.50x = 179.63 × 179.63
  4. Step 4: Simplify right side
    76.50x = 32,265.14
  5. Step 5: Solve for x
    x = 32,265.14/76.50
  6. Step 6: Final answer
    x = 421.77

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.