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Finding the Third Proportional to 209.75 and 228.50

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Solution

The third proportional to 209.75 and 228.50 is: 248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.75 : 228.50 = 228.50 : x
  2. Step 2: Convert to fraction form
    209.75/228.50 = 228.50/x
  3. Step 3: Cross multiply
    209.75x = 228.50 × 228.50
  4. Step 4: Simplify right side
    209.75x = 52,212.25
  5. Step 5: Solve for x
    x = 52,212.25/209.75
  6. Step 6: Final answer
    x = 248.93

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.