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Finding the Third Proportional to 103,333 and 226,994

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Solution

The third proportional to 103,333 and 226,994 is: 498,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,333 : 226,994 = 226,994 : x
  2. Step 2: Convert to fraction form
    103,333/226,994 = 226,994/x
  3. Step 3: Cross multiply
    103,333x = 226,994 × 226,994
  4. Step 4: Simplify right side
    103,333x = 51,526,276,036
  5. Step 5: Solve for x
    x = 51,526,276,036/103,333
  6. Step 6: Final answer
    x = 498,642.99

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Why These Related Problems?

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