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Finding the Third Proportional to 101.38 and 233.94

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Solution

The third proportional to 101.38 and 233.94 is: 539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.38 : 233.94 = 233.94 : x
  2. Step 2: Convert to fraction form
    101.38/233.94 = 233.94/x
  3. Step 3: Cross multiply
    101.38x = 233.94 × 233.94
  4. Step 4: Simplify right side
    101.38x = 54,726.75
  5. Step 5: Solve for x
    x = 54,726.75/101.38
  6. Step 6: Final answer
    x = 539.84

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.