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Finding the Third Proportional to 145,197.77 and 311,404.92

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Solution

The third proportional to 145,197.77 and 311,404.92 is: 667,868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,197.77 : 311,404.92 = 311,404.92 : x
  2. Step 2: Convert to fraction form
    145,197.77/311,404.92 = 311,404.92/x
  3. Step 3: Cross multiply
    145,197.77x = 311,404.92 × 311,404.92
  4. Step 4: Simplify right side
    145,197.77x = 96,973,025,367.97
  5. Step 5: Solve for x
    x = 96,973,025,367.97/145,197.77
  6. Step 6: Final answer
    x = 667,868.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.