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Finding the Third Proportional to 179.13 and 384.88

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Solution

The third proportional to 179.13 and 384.88 is: 826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.13 : 384.88 = 384.88 : x
  2. Step 2: Convert to fraction form
    179.13/384.88 = 384.88/x
  3. Step 3: Cross multiply
    179.13x = 384.88 × 384.88
  4. Step 4: Simplify right side
    179.13x = 148,128.77
  5. Step 5: Solve for x
    x = 148,128.77/179.13
  6. Step 6: Final answer
    x = 826.96

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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.