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Finding the Third Proportional to 216.84 and 468.28

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Solution

The third proportional to 216.84 and 468.28 is: 1,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.84 : 468.28 = 468.28 : x
  2. Step 2: Convert to fraction form
    216.84/468.28 = 468.28/x
  3. Step 3: Cross multiply
    216.84x = 468.28 × 468.28
  4. Step 4: Simplify right side
    216.84x = 219,287.33
  5. Step 5: Solve for x
    x = 219,287.33/216.84
  6. Step 6: Final answer
    x = 1,011.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.