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Finding the Third Proportional to 225.84 and 486.42

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Solution

The third proportional to 225.84 and 486.42 is: 1,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.84 : 486.42 = 486.42 : x
  2. Step 2: Convert to fraction form
    225.84/486.42 = 486.42/x
  3. Step 3: Cross multiply
    225.84x = 486.42 × 486.42
  4. Step 4: Simplify right side
    225.84x = 236,606.24
  5. Step 5: Solve for x
    x = 236,606.24/225.84
  6. Step 6: Final answer
    x = 1,047.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.