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Finding the Third Proportional to 354,145.75 and 534,183.50

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Solution

The third proportional to 354,145.75 and 534,183.50 is: 805,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,145.75 : 534,183.50 = 534,183.50 : x
  2. Step 2: Convert to fraction form
    354,145.75/534,183.50 = 534,183.50/x
  3. Step 3: Cross multiply
    354,145.75x = 534,183.50 × 534,183.50
  4. Step 4: Simplify right side
    354,145.75x = 285,352,011,672.25
  5. Step 5: Solve for x
    x = 285,352,011,672.25/354,145.75
  6. Step 6: Final answer
    x = 805,747.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.