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Finding the Third Proportional to 103,221 and 226,741

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Solution

The third proportional to 103,221 and 226,741 is: 498,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,221 : 226,741 = 226,741 : x
  2. Step 2: Convert to fraction form
    103,221/226,741 = 226,741/x
  3. Step 3: Cross multiply
    103,221x = 226,741 × 226,741
  4. Step 4: Simplify right side
    103,221x = 51,411,481,081
  5. Step 5: Solve for x
    x = 51,411,481,081/103,221
  6. Step 6: Final answer
    x = 498,071.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.