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Finding the Third Proportional to 226.86 and 496.93

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Solution

The third proportional to 226.86 and 496.93 is: 1,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.86 : 496.93 = 496.93 : x
  2. Step 2: Convert to fraction form
    226.86/496.93 = 496.93/x
  3. Step 3: Cross multiply
    226.86x = 496.93 × 496.93
  4. Step 4: Simplify right side
    226.86x = 246,943.00
  5. Step 5: Solve for x
    x = 246,943.00/226.86
  6. Step 6: Final answer
    x = 1,088.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.