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Finding the Third Proportional to 237 and 513.25

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Solution

The third proportional to 237 and 513.25 is: 1,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    237 : 513.25 = 513.25 : x
  2. Step 2: Convert to fraction form
    237/513.25 = 513.25/x
  3. Step 3: Cross multiply
    237x = 513.25 × 513.25
  4. Step 4: Simplify right side
    237x = 263,425.56
  5. Step 5: Solve for x
    x = 263,425.56/237
  6. Step 6: Final answer
    x = 1,111.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.