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Finding the Third Proportional to 106.31 and 237.94

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Solution

The third proportional to 106.31 and 237.94 is: 532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.31 : 237.94 = 237.94 : x
  2. Step 2: Convert to fraction form
    106.31/237.94 = 237.94/x
  3. Step 3: Cross multiply
    106.31x = 237.94 × 237.94
  4. Step 4: Simplify right side
    106.31x = 56,614.25
  5. Step 5: Solve for x
    x = 56,614.25/106.31
  6. Step 6: Final answer
    x = 532.53

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.