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Finding the Third Proportional to 226,738.93 and 334,918.55

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Solution

The third proportional to 226,738.93 and 334,918.55 is: 494,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,738.93 : 334,918.55 = 334,918.55 : x
  2. Step 2: Convert to fraction form
    226,738.93/334,918.55 = 334,918.55/x
  3. Step 3: Cross multiply
    226,738.93x = 334,918.55 × 334,918.55
  4. Step 4: Simplify right side
    226,738.93x = 112,170,433,040.86
  5. Step 5: Solve for x
    x = 112,170,433,040.86/226,738.93
  6. Step 6: Final answer
    x = 494,711.83

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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.