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Finding the Third Proportional to 109.31 and 233.38

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Solution

The third proportional to 109.31 and 233.38 is: 498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.31 : 233.38 = 233.38 : x
  2. Step 2: Convert to fraction form
    109.31/233.38 = 233.38/x
  3. Step 3: Cross multiply
    109.31x = 233.38 × 233.38
  4. Step 4: Simplify right side
    109.31x = 54,463.89
  5. Step 5: Solve for x
    x = 54,463.89/109.31
  6. Step 6: Final answer
    x = 498.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.