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Finding the Third Proportional to 215.26 and 468.95

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Solution

The third proportional to 215.26 and 468.95 is: 1,021.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.26 : 468.95 = 468.95 : x
  2. Step 2: Convert to fraction form
    215.26/468.95 = 468.95/x
  3. Step 3: Cross multiply
    215.26x = 468.95 × 468.95
  4. Step 4: Simplify right side
    215.26x = 219,913.37
  5. Step 5: Solve for x
    x = 219,913.37/215.26
  6. Step 6: Final answer
    x = 1,021.61

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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.