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Finding the Third Proportional to 133,107 and 289,540.50

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Solution

The third proportional to 133,107 and 289,540.50 is: 629,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,107 : 289,540.50 = 289,540.50 : x
  2. Step 2: Convert to fraction form
    133,107/289,540.50 = 289,540.50/x
  3. Step 3: Cross multiply
    133,107x = 289,540.50 × 289,540.50
  4. Step 4: Simplify right side
    133,107x = 83,833,701,140.25
  5. Step 5: Solve for x
    x = 83,833,701,140.25/133,107
  6. Step 6: Final answer
    x = 629,821.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.