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Finding the Third Proportional to 179.06 and 384.66

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Solution

The third proportional to 179.06 and 384.66 is: 826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.06 : 384.66 = 384.66 : x
  2. Step 2: Convert to fraction form
    179.06/384.66 = 384.66/x
  3. Step 3: Cross multiply
    179.06x = 384.66 × 384.66
  4. Step 4: Simplify right side
    179.06x = 147,960.43
  5. Step 5: Solve for x
    x = 147,960.43/179.06
  6. Step 6: Final answer
    x = 826.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.