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Finding the Third Proportional to 92,405 and 226,911

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Solution

The third proportional to 92,405 and 226,911 is: 557,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,405 : 226,911 = 226,911 : x
  2. Step 2: Convert to fraction form
    92,405/226,911 = 226,911/x
  3. Step 3: Cross multiply
    92,405x = 226,911 × 226,911
  4. Step 4: Simplify right side
    92,405x = 51,488,601,921
  5. Step 5: Solve for x
    x = 51,488,601,921/92,405
  6. Step 6: Final answer
    x = 557,205.80

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.