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Finding the Third Proportional to 107.06 and 233.44

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Solution

The third proportional to 107.06 and 233.44 is: 508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.06 : 233.44 = 233.44 : x
  2. Step 2: Convert to fraction form
    107.06/233.44 = 233.44/x
  3. Step 3: Cross multiply
    107.06x = 233.44 × 233.44
  4. Step 4: Simplify right side
    107.06x = 54,493.07
  5. Step 5: Solve for x
    x = 54,493.07/107.06
  6. Step 6: Final answer
    x = 508.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.