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Finding the Third Proportional to 133,849.50 and 301,404.75

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Solution

The third proportional to 133,849.50 and 301,404.75 is: 678,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,849.50 : 301,404.75 = 301,404.75 : x
  2. Step 2: Convert to fraction form
    133,849.50/301,404.75 = 301,404.75/x
  3. Step 3: Cross multiply
    133,849.50x = 301,404.75 × 301,404.75
  4. Step 4: Simplify right side
    133,849.50x = 90,844,823,322.56
  5. Step 5: Solve for x
    x = 90,844,823,322.56/133,849.50
  6. Step 6: Final answer
    x = 678,708.72

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.