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Finding the Third Proportional to 226,986.75 and 351,246.38

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Solution

The third proportional to 226,986.75 and 351,246.38 is: 543,529.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,986.75 : 351,246.38 = 351,246.38 : x
  2. Step 2: Convert to fraction form
    226,986.75/351,246.38 = 351,246.38/x
  3. Step 3: Cross multiply
    226,986.75x = 351,246.38 × 351,246.38
  4. Step 4: Simplify right side
    226,986.75x = 123,374,015,950.64
  5. Step 5: Solve for x
    x = 123,374,015,950.64/226,986.75
  6. Step 6: Final answer
    x = 543,529.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.