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Finding the Third Proportional to 226,733 and 338,914.75

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Solution

The third proportional to 226,733 and 338,914.75 is: 506,601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,733 : 338,914.75 = 338,914.75 : x
  2. Step 2: Convert to fraction form
    226,733/338,914.75 = 338,914.75/x
  3. Step 3: Cross multiply
    226,733x = 338,914.75 × 338,914.75
  4. Step 4: Simplify right side
    226,733x = 114,863,207,767.56
  5. Step 5: Solve for x
    x = 114,863,207,767.56/226,733
  6. Step 6: Final answer
    x = 506,601.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.