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Finding the Third Proportional to 110 and 237.63

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Solution

The third proportional to 110 and 237.63 is: 513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110 : 237.63 = 237.63 : x
  2. Step 2: Convert to fraction form
    110/237.63 = 237.63/x
  3. Step 3: Cross multiply
    110x = 237.63 × 237.63
  4. Step 4: Simplify right side
    110x = 56,465.64
  5. Step 5: Solve for x
    x = 56,465.64/110
  6. Step 6: Final answer
    x = 513.32

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