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Finding the Third Proportional to 237.19 and 513.19

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Solution

The third proportional to 237.19 and 513.19 is: 1,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.19 : 513.19 = 513.19 : x
  2. Step 2: Convert to fraction form
    237.19/513.19 = 513.19/x
  3. Step 3: Cross multiply
    237.19x = 513.19 × 513.19
  4. Step 4: Simplify right side
    237.19x = 263,361.41
  5. Step 5: Solve for x
    x = 263,361.41/237.19
  6. Step 6: Final answer
    x = 1,110.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.