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Finding the Third Proportional to 226,273.50 and 334,129.50

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Solution

The third proportional to 226,273.50 and 334,129.50 is: 493,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,273.50 : 334,129.50 = 334,129.50 : x
  2. Step 2: Convert to fraction form
    226,273.50/334,129.50 = 334,129.50/x
  3. Step 3: Cross multiply
    226,273.50x = 334,129.50 × 334,129.50
  4. Step 4: Simplify right side
    226,273.50x = 111,642,522,770.25
  5. Step 5: Solve for x
    x = 111,642,522,770.25/226,273.50
  6. Step 6: Final answer
    x = 493,396.37

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Why These Related Problems?

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