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Finding the Third Proportional to 178 and 199.50

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Solution

The third proportional to 178 and 199.50 is: 223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178 : 199.50 = 199.50 : x
  2. Step 2: Convert to fraction form
    178/199.50 = 199.50/x
  3. Step 3: Cross multiply
    178x = 199.50 × 199.50
  4. Step 4: Simplify right side
    178x = 39,800.25
  5. Step 5: Solve for x
    x = 39,800.25/178
  6. Step 6: Final answer
    x = 223.60

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.