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Finding the Third Proportional to 223,906 and 335,721

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Solution

The third proportional to 223,906 and 335,721 is: 503,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,906 : 335,721 = 335,721 : x
  2. Step 2: Convert to fraction form
    223,906/335,721 = 335,721/x
  3. Step 3: Cross multiply
    223,906x = 335,721 × 335,721
  4. Step 4: Simplify right side
    223,906x = 112,708,589,841
  5. Step 5: Solve for x
    x = 112,708,589,841/223,906
  6. Step 6: Final answer
    x = 503,374.59

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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.