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Finding the Third Proportional to 228.50 and 502.75

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Solution

The third proportional to 228.50 and 502.75 is: 1,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.50 : 502.75 = 502.75 : x
  2. Step 2: Convert to fraction form
    228.50/502.75 = 502.75/x
  3. Step 3: Cross multiply
    228.50x = 502.75 × 502.75
  4. Step 4: Simplify right side
    228.50x = 252,757.56
  5. Step 5: Solve for x
    x = 252,757.56/228.50
  6. Step 6: Final answer
    x = 1,106.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.