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Finding the Third Proportional to 226,266.19 and 335,485.69

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Solution

The third proportional to 226,266.19 and 335,485.69 is: 497,425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,266.19 : 335,485.69 = 335,485.69 : x
  2. Step 2: Convert to fraction form
    226,266.19/335,485.69 = 335,485.69/x
  3. Step 3: Cross multiply
    226,266.19x = 335,485.69 × 335,485.69
  4. Step 4: Simplify right side
    226,266.19x = 112,550,646,517.35
  5. Step 5: Solve for x
    x = 112,550,646,517.35/226,266.19
  6. Step 6: Final answer
    x = 497,425.83

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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.