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Finding the Third Proportional to 106 and 242.75

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Solution

The third proportional to 106 and 242.75 is: 555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 242.75 = 242.75 : x
  2. Step 2: Convert to fraction form
    106/242.75 = 242.75/x
  3. Step 3: Cross multiply
    106x = 242.75 × 242.75
  4. Step 4: Simplify right side
    106x = 58,927.56
  5. Step 5: Solve for x
    x = 58,927.56/106
  6. Step 6: Final answer
    x = 555.92

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.