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Finding the Third Proportional to 108.31 and 233.75

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Solution

The third proportional to 108.31 and 233.75 is: 504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.31 : 233.75 = 233.75 : x
  2. Step 2: Convert to fraction form
    108.31/233.75 = 233.75/x
  3. Step 3: Cross multiply
    108.31x = 233.75 × 233.75
  4. Step 4: Simplify right side
    108.31x = 54,639.06
  5. Step 5: Solve for x
    x = 54,639.06/108.31
  6. Step 6: Final answer
    x = 504.46

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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.