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Finding the Third Proportional to 225.84 and 252.84

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Solution

The third proportional to 225.84 and 252.84 is: 283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.84 : 252.84 = 252.84 : x
  2. Step 2: Convert to fraction form
    225.84/252.84 = 252.84/x
  3. Step 3: Cross multiply
    225.84x = 252.84 × 252.84
  4. Step 4: Simplify right side
    225.84x = 63,929.96
  5. Step 5: Solve for x
    x = 63,929.96/225.84
  6. Step 6: Final answer
    x = 283.07

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.