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Finding the Third Proportional to 225.56 and 514.13

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Solution

The third proportional to 225.56 and 514.13 is: 1,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.56 : 514.13 = 514.13 : x
  2. Step 2: Convert to fraction form
    225.56/514.13 = 514.13/x
  3. Step 3: Cross multiply
    225.56x = 514.13 × 514.13
  4. Step 4: Simplify right side
    225.56x = 264,324.52
  5. Step 5: Solve for x
    x = 264,324.52/225.56
  6. Step 6: Final answer
    x = 1,171.85

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.