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Finding the Third Proportional to 179 and 384.50

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Solution

The third proportional to 179 and 384.50 is: 825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    179 : 384.50 = 384.50 : x
  2. Step 2: Convert to fraction form
    179/384.50 = 384.50/x
  3. Step 3: Cross multiply
    179x = 384.50 × 384.50
  4. Step 4: Simplify right side
    179x = 147,840.25
  5. Step 5: Solve for x
    x = 147,840.25/179
  6. Step 6: Final answer
    x = 825.92

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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.