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Finding the Third Proportional to 223,311 and 335,007

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Solution

The third proportional to 223,311 and 335,007 is: 502,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,311 : 335,007 = 335,007 : x
  2. Step 2: Convert to fraction form
    223,311/335,007 = 335,007/x
  3. Step 3: Cross multiply
    223,311x = 335,007 × 335,007
  4. Step 4: Simplify right side
    223,311x = 112,229,690,049
  5. Step 5: Solve for x
    x = 112,229,690,049/223,311
  6. Step 6: Final answer
    x = 502,571.26

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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.