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Finding the Third Proportional to 223,607.25 and 334,524.38

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Solution

The third proportional to 223,607.25 and 334,524.38 is: 500,460.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,607.25 : 334,524.38 = 334,524.38 : x
  2. Step 2: Convert to fraction form
    223,607.25/334,524.38 = 334,524.38/x
  3. Step 3: Cross multiply
    223,607.25x = 334,524.38 × 334,524.38
  4. Step 4: Simplify right side
    223,607.25x = 111,906,557,469.14
  5. Step 5: Solve for x
    x = 111,906,557,469.14/223,607.25
  6. Step 6: Final answer
    x = 500,460.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.