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Finding the Third Proportional to 103,590 and 226,866

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Solution

The third proportional to 103,590 and 226,866 is: 496,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,590 : 226,866 = 226,866 : x
  2. Step 2: Convert to fraction form
    103,590/226,866 = 226,866/x
  3. Step 3: Cross multiply
    103,590x = 226,866 × 226,866
  4. Step 4: Simplify right side
    103,590x = 51,468,181,956
  5. Step 5: Solve for x
    x = 51,468,181,956/103,590
  6. Step 6: Final answer
    x = 496,845.08

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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.