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Finding the Third Proportional to 105 and 216.50

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Solution

The third proportional to 105 and 216.50 is: 446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105 : 216.50 = 216.50 : x
  2. Step 2: Convert to fraction form
    105/216.50 = 216.50/x
  3. Step 3: Cross multiply
    105x = 216.50 × 216.50
  4. Step 4: Simplify right side
    105x = 46,872.25
  5. Step 5: Solve for x
    x = 46,872.25/105
  6. Step 6: Final answer
    x = 446.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.