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Finding the Third Proportional to 133,051.50 and 300,793.50

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Solution

The third proportional to 133,051.50 and 300,793.50 is: 680,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,051.50 : 300,793.50 = 300,793.50 : x
  2. Step 2: Convert to fraction form
    133,051.50/300,793.50 = 300,793.50/x
  3. Step 3: Cross multiply
    133,051.50x = 300,793.50 × 300,793.50
  4. Step 4: Simplify right side
    133,051.50x = 90,476,729,642.25
  5. Step 5: Solve for x
    x = 90,476,729,642.25/133,051.50
  6. Step 6: Final answer
    x = 680,012.85

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.