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Finding the Third Proportional to 174 and 334.50

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Solution

The third proportional to 174 and 334.50 is: 643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174 : 334.50 = 334.50 : x
  2. Step 2: Convert to fraction form
    174/334.50 = 334.50/x
  3. Step 3: Cross multiply
    174x = 334.50 × 334.50
  4. Step 4: Simplify right side
    174x = 111,890.25
  5. Step 5: Solve for x
    x = 111,890.25/174
  6. Step 6: Final answer
    x = 643.05

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.