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Finding the Third Proportional to 171,855.42 and 377,563.78

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Solution

The third proportional to 171,855.42 and 377,563.78 is: 829,501.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,855.42 : 377,563.78 = 377,563.78 : x
  2. Step 2: Convert to fraction form
    171,855.42/377,563.78 = 377,563.78/x
  3. Step 3: Cross multiply
    171,855.42x = 377,563.78 × 377,563.78
  4. Step 4: Simplify right side
    171,855.42x = 142,554,408,911.80
  5. Step 5: Solve for x
    x = 142,554,408,911.80/171,855.42
  6. Step 6: Final answer
    x = 829,501.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.