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Finding the Third Proportional to 103,234 and 226,372

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Solution

The third proportional to 103,234 and 226,372 is: 496,389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,234 : 226,372 = 226,372 : x
  2. Step 2: Convert to fraction form
    103,234/226,372 = 226,372/x
  3. Step 3: Cross multiply
    103,234x = 226,372 × 226,372
  4. Step 4: Simplify right side
    103,234x = 51,244,282,384
  5. Step 5: Solve for x
    x = 51,244,282,384/103,234
  6. Step 6: Final answer
    x = 496,389.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.