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Finding the Third Proportional to 226,822.50 and 335,061

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Solution

The third proportional to 226,822.50 and 335,061 is: 494,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,822.50 : 335,061 = 335,061 : x
  2. Step 2: Convert to fraction form
    226,822.50/335,061 = 335,061/x
  3. Step 3: Cross multiply
    226,822.50x = 335,061 × 335,061
  4. Step 4: Simplify right side
    226,822.50x = 112,265,873,721
  5. Step 5: Solve for x
    x = 112,265,873,721/226,822.50
  6. Step 6: Final answer
    x = 494,950.34

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.