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Finding the Third Proportional to 103,892 and 226,000

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Solution

The third proportional to 103,892 and 226,000 is: 491,625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,892 : 226,000 = 226,000 : x
  2. Step 2: Convert to fraction form
    103,892/226,000 = 226,000/x
  3. Step 3: Cross multiply
    103,892x = 226,000 × 226,000
  4. Step 4: Simplify right side
    103,892x = 51,076,000,000
  5. Step 5: Solve for x
    x = 51,076,000,000/103,892
  6. Step 6: Final answer
    x = 491,625.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.