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Finding the Third Proportional to 226,534.50 and 339,779.50

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Solution

The third proportional to 226,534.50 and 339,779.50 is: 509,635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,534.50 : 339,779.50 = 339,779.50 : x
  2. Step 2: Convert to fraction form
    226,534.50/339,779.50 = 339,779.50/x
  3. Step 3: Cross multiply
    226,534.50x = 339,779.50 × 339,779.50
  4. Step 4: Simplify right side
    226,534.50x = 115,450,108,620.25
  5. Step 5: Solve for x
    x = 115,450,108,620.25/226,534.50
  6. Step 6: Final answer
    x = 509,635.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.