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Finding the Third Proportional to 223,129 and 335,180

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Solution

The third proportional to 223,129 and 335,180 is: 503,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,129 : 335,180 = 335,180 : x
  2. Step 2: Convert to fraction form
    223,129/335,180 = 335,180/x
  3. Step 3: Cross multiply
    223,129x = 335,180 × 335,180
  4. Step 4: Simplify right side
    223,129x = 112,345,632,400
  5. Step 5: Solve for x
    x = 112,345,632,400/223,129
  6. Step 6: Final answer
    x = 503,500.81

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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.