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Finding the Third Proportional to 173.50 and 269.75

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Solution

The third proportional to 173.50 and 269.75 is: 419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.50 : 269.75 = 269.75 : x
  2. Step 2: Convert to fraction form
    173.50/269.75 = 269.75/x
  3. Step 3: Cross multiply
    173.50x = 269.75 × 269.75
  4. Step 4: Simplify right side
    173.50x = 72,765.06
  5. Step 5: Solve for x
    x = 72,765.06/173.50
  6. Step 6: Final answer
    x = 419.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.