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Finding the Third Proportional to 174 and 243.28

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Solution

The third proportional to 174 and 243.28 is: 340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174 : 243.28 = 243.28 : x
  2. Step 2: Convert to fraction form
    174/243.28 = 243.28/x
  3. Step 3: Cross multiply
    174x = 243.28 × 243.28
  4. Step 4: Simplify right side
    174x = 59,185.77
  5. Step 5: Solve for x
    x = 59,185.77/174
  6. Step 6: Final answer
    x = 340.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.