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Finding the Third Proportional to 226,271.25 and 335,490.75

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Solution

The third proportional to 226,271.25 and 335,490.75 is: 497,429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,271.25 : 335,490.75 = 335,490.75 : x
  2. Step 2: Convert to fraction form
    226,271.25/335,490.75 = 335,490.75/x
  3. Step 3: Cross multiply
    226,271.25x = 335,490.75 × 335,490.75
  4. Step 4: Simplify right side
    226,271.25x = 112,554,043,335.56
  5. Step 5: Solve for x
    x = 112,554,043,335.56/226,271.25
  6. Step 6: Final answer
    x = 497,429.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.