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Finding the Third Proportional to 226,379 and 306,353

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Solution

The third proportional to 226,379 and 306,353 is: 414,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,379 : 306,353 = 306,353 : x
  2. Step 2: Convert to fraction form
    226,379/306,353 = 306,353/x
  3. Step 3: Cross multiply
    226,379x = 306,353 × 306,353
  4. Step 4: Simplify right side
    226,379x = 93,852,160,609
  5. Step 5: Solve for x
    x = 93,852,160,609/226,379
  6. Step 6: Final answer
    x = 414,579.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.